Finding the Third Proportional to 83,041,946 and 194,023,462

Step by Step Solution

1. Step 1: Write the proportion equation
   83,041,946 : 194,023,462 = 194,023,462 : x
2. Step 2: Convert to fraction form
   83,041,946/194,023,462 = 194,023,462/x
3. Step 3: Cross multiply
   83,041,946x = 194,023,462 × 194,023,462
4. Step 4: Simplify right side
   83,041,946x = 37,645,103,806,465,440
5. Step 5: Solve for x
   x = 37,645,103,806,465,440/83,041,946
6. Step 6: Final answer
   x = 453,326,368.42