Finding the Third Proportional to 514,755 and 776,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,755 : 776,182.50 = 776,182.50 : x
2. Step 2: Convert to fraction form
   514,755/776,182.50 = 776,182.50/x
3. Step 3: Cross multiply
   514,755x = 776,182.50 × 776,182.50
4. Step 4: Simplify right side
   514,755x = 602,459,273,306.25
5. Step 5: Solve for x
   x = 602,459,273,306.25/514,755
6. Step 6: Final answer
   x = 1,170,380.61