Finding the Third Proportional to 785,677,947 and 1,092,422,385

Step by Step Solution

1. Step 1: Write the proportion equation
   785,677,947 : 1,092,422,385 = 1,092,422,385 : x
2. Step 2: Convert to fraction form
   785,677,947/1,092,422,385 = 1,092,422,385/x
3. Step 3: Cross multiply
   785,677,947x = 1,092,422,385 × 1,092,422,385
4. Step 4: Simplify right side
   785,677,947x = 1,193,386,667,249,088,256
5. Step 5: Solve for x
   x = 1,193,386,667,249,088,256/785,677,947
6. Step 6: Final answer
   x = 1,518,926,007.54