Finding the Third Proportional to 71,689.50 and 108,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,689.50 : 108,506.25 = 108,506.25 : x
2. Step 2: Convert to fraction form
   71,689.50/108,506.25 = 108,506.25/x
3. Step 3: Cross multiply
   71,689.50x = 108,506.25 × 108,506.25
4. Step 4: Simplify right side
   71,689.50x = 11,773,606,289.06
5. Step 5: Solve for x
   x = 11,773,606,289.06/71,689.50
6. Step 6: Final answer
   x = 164,230.55