Finding the Third Proportional to 114,937.50 and 243,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,937.50 : 243,697.50 = 243,697.50 : x
2. Step 2: Convert to fraction form
   114,937.50/243,697.50 = 243,697.50/x
3. Step 3: Cross multiply
   114,937.50x = 243,697.50 × 243,697.50
4. Step 4: Simplify right side
   114,937.50x = 59,388,471,506.25
5. Step 5: Solve for x
   x = 59,388,471,506.25/114,937.50
6. Step 6: Final answer
   x = 516,702.31