Finding the Third Proportional to 496,518 and 767,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   496,518 : 767,233.50 = 767,233.50 : x
2. Step 2: Convert to fraction form
   496,518/767,233.50 = 767,233.50/x
3. Step 3: Cross multiply
   496,518x = 767,233.50 × 767,233.50
4. Step 4: Simplify right side
   496,518x = 588,647,243,522.25
5. Step 5: Solve for x
   x = 588,647,243,522.25/496,518
6. Step 6: Final answer
   x = 1,185,550.66