Finding the Third Proportional to 361,470 and 785,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   361,470 : 785,165.50 = 785,165.50 : x
2. Step 2: Convert to fraction form
   361,470/785,165.50 = 785,165.50/x
3. Step 3: Cross multiply
   361,470x = 785,165.50 × 785,165.50
4. Step 4: Simplify right side
   361,470x = 616,484,862,390.25
5. Step 5: Solve for x
   x = 616,484,862,390.25/361,470
6. Step 6: Final answer
   x = 1,705,493.85