Finding the Third Proportional to 116,276.50 and 251,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,276.50 : 251,142.50 = 251,142.50 : x
2. Step 2: Convert to fraction form
   116,276.50/251,142.50 = 251,142.50/x
3. Step 3: Cross multiply
   116,276.50x = 251,142.50 × 251,142.50
4. Step 4: Simplify right side
   116,276.50x = 63,072,555,306.25
5. Step 5: Solve for x
   x = 63,072,555,306.25/116,276.50
6. Step 6: Final answer
   x = 542,435.96