Finding the Third Proportional to 2,201,793,536,441 and 4,466,368,487,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,201,793,536,441 : 4,466,368,487,456 = 4,466,368,487,456 : x
2. Step 2: Convert to fraction form
   2,201,793,536,441/4,466,368,487,456 = 4,466,368,487,456/x
3. Step 3: Cross multiply
   2,201,793,536,441x = 4,466,368,487,456 × 4,466,368,487,456
4. Step 4: Simplify right side
   2,201,793,536,441x = 19,948,447,465,739,997,369,335,808
5. Step 5: Solve for x
   x = 19,948,447,465,739,997,369,335,808/2,201,793,536,441
6. Step 6: Final answer
   x = 9,060,089,938,307.68