Finding the Third Proportional to 109,663.50 and 239,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,663.50 : 239,158.50 = 239,158.50 : x
2. Step 2: Convert to fraction form
   109,663.50/239,158.50 = 239,158.50/x
3. Step 3: Cross multiply
   109,663.50x = 239,158.50 × 239,158.50
4. Step 4: Simplify right side
   109,663.50x = 57,196,788,122.25
5. Step 5: Solve for x
   x = 57,196,788,122.25/109,663.50
6. Step 6: Final answer
   x = 521,566.32