Finding the Third Proportional to 577,902 and 766,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   577,902 : 766,813.50 = 766,813.50 : x
2. Step 2: Convert to fraction form
   577,902/766,813.50 = 766,813.50/x
3. Step 3: Cross multiply
   577,902x = 766,813.50 × 766,813.50
4. Step 4: Simplify right side
   577,902x = 588,002,943,782.25
5. Step 5: Solve for x
   x = 588,002,943,782.25/577,902
6. Step 6: Final answer
   x = 1,017,478.64