Finding the Third Proportional to 109,177.88 and 238,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,177.88 : 238,666.50 = 238,666.50 : x
2. Step 2: Convert to fraction form
   109,177.88/238,666.50 = 238,666.50/x
3. Step 3: Cross multiply
   109,177.88x = 238,666.50 × 238,666.50
4. Step 4: Simplify right side
   109,177.88x = 56,961,698,222.25
5. Step 5: Solve for x
   x = 56,961,698,222.25/109,177.88
6. Step 6: Final answer
   x = 521,732.98