Finding the Third Proportional to 497,129 and 777,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   497,129 : 777,682.50 = 777,682.50 : x
2. Step 2: Convert to fraction form
   497,129/777,682.50 = 777,682.50/x
3. Step 3: Cross multiply
   497,129x = 777,682.50 × 777,682.50
4. Step 4: Simplify right side
   497,129x = 604,790,070,806.25
5. Step 5: Solve for x
   x = 604,790,070,806.25/497,129
6. Step 6: Final answer
   x = 1,216,565.66