Finding the Third Proportional to 71,775 and 110,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,775 : 110,173.50 = 110,173.50 : x
2. Step 2: Convert to fraction form
   71,775/110,173.50 = 110,173.50/x
3. Step 3: Cross multiply
   71,775x = 110,173.50 × 110,173.50
4. Step 4: Simplify right side
   71,775x = 12,138,200,102.25
5. Step 5: Solve for x
   x = 12,138,200,102.25/71,775
6. Step 6: Final answer
   x = 169,114.60