Finding the Third Proportional to 99,766,092,362 and 206,603,954,401

Step by Step Solution

1. Step 1: Write the proportion equation
   99,766,092,362 : 206,603,954,401 = 206,603,954,401 : x
2. Step 2: Convert to fraction form
   99,766,092,362/206,603,954,401 = 206,603,954,401/x
3. Step 3: Cross multiply
   99,766,092,362x = 206,603,954,401 × 206,603,954,401
4. Step 4: Simplify right side
   99,766,092,362x = 42,685,193,974,130,484,969,472
5. Step 5: Solve for x
   x = 42,685,193,974,130,484,969,472/99,766,092,362
6. Step 6: Final answer
   x = 427,852,719,932.62