Finding the Third Proportional to 496,458 and 767,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   496,458 : 767,155.50 = 767,155.50 : x
2. Step 2: Convert to fraction form
   496,458/767,155.50 = 767,155.50/x
3. Step 3: Cross multiply
   496,458x = 767,155.50 × 767,155.50
4. Step 4: Simplify right side
   496,458x = 588,527,561,180.25
5. Step 5: Solve for x
   x = 588,527,561,180.25/496,458
6. Step 6: Final answer
   x = 1,185,452.87