Finding the Third Proportional to 71,914.50 and 111,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,914.50 : 111,658.50 = 111,658.50 : x
2. Step 2: Convert to fraction form
   71,914.50/111,658.50 = 111,658.50/x
3. Step 3: Cross multiply
   71,914.50x = 111,658.50 × 111,658.50
4. Step 4: Simplify right side
   71,914.50x = 12,467,620,622.25
5. Step 5: Solve for x
   x = 12,467,620,622.25/71,914.50
6. Step 6: Final answer
   x = 173,367.27