Finding the Third Proportional to 111,127.50 and 239,627.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,127.50 : 239,627.25 = 239,627.25 : x
2. Step 2: Convert to fraction form
   111,127.50/239,627.25 = 239,627.25/x
3. Step 3: Cross multiply
   111,127.50x = 239,627.25 × 239,627.25
4. Step 4: Simplify right side
   111,127.50x = 57,421,218,942.56
5. Step 5: Solve for x
   x = 57,421,218,942.56/111,127.50
6. Step 6: Final answer
   x = 516,714.76