Finding the Third Proportional to 111,461.50 and 241,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,461.50 : 241,593.50 = 241,593.50 : x
2. Step 2: Convert to fraction form
   111,461.50/241,593.50 = 241,593.50/x
3. Step 3: Cross multiply
   111,461.50x = 241,593.50 × 241,593.50
4. Step 4: Simplify right side
   111,461.50x = 58,367,419,242.25
5. Step 5: Solve for x
   x = 58,367,419,242.25/111,461.50
6. Step 6: Final answer
   x = 523,655.43