Finding the Third Proportional to 497,182.50 and 777,762

Step by Step Solution

1. Step 1: Write the proportion equation
   497,182.50 : 777,762 = 777,762 : x
2. Step 2: Convert to fraction form
   497,182.50/777,762 = 777,762/x
3. Step 3: Cross multiply
   497,182.50x = 777,762 × 777,762
4. Step 4: Simplify right side
   497,182.50x = 604,913,728,644
5. Step 5: Solve for x
   x = 604,913,728,644/497,182.50
6. Step 6: Final answer
   x = 1,216,683.47