Finding the Third Proportional to 71,685 and 111,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,685 : 111,223.50 = 111,223.50 : x
2. Step 2: Convert to fraction form
   71,685/111,223.50 = 111,223.50/x
3. Step 3: Cross multiply
   71,685x = 111,223.50 × 111,223.50
4. Step 4: Simplify right side
   71,685x = 12,370,666,952.25
5. Step 5: Solve for x
   x = 12,370,666,952.25/71,685
6. Step 6: Final answer
   x = 172,569.81