Finding the Third Proportional to 71,509.50 and 109,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,509.50 : 109,186.50 = 109,186.50 : x
2. Step 2: Convert to fraction form
   71,509.50/109,186.50 = 109,186.50/x
3. Step 3: Cross multiply
   71,509.50x = 109,186.50 × 109,186.50
4. Step 4: Simplify right side
   71,509.50x = 11,921,691,782.25
5. Step 5: Solve for x
   x = 11,921,691,782.25/71,509.50
6. Step 6: Final answer
   x = 166,714.80