Finding the Third Proportional to 109,617 and 171,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,617 : 171,238.50 = 171,238.50 : x
2. Step 2: Convert to fraction form
   109,617/171,238.50 = 171,238.50/x
3. Step 3: Cross multiply
   109,617x = 171,238.50 × 171,238.50
4. Step 4: Simplify right side
   109,617x = 29,322,623,882.25
5. Step 5: Solve for x
   x = 29,322,623,882.25/109,617
6. Step 6: Final answer
   x = 267,500.70