Finding the Third Proportional to 71,686 and 111,225

Step by Step Solution

1. Step 1: Write the proportion equation
   71,686 : 111,225 = 111,225 : x
2. Step 2: Convert to fraction form
   71,686/111,225 = 111,225/x
3. Step 3: Cross multiply
   71,686x = 111,225 × 111,225
4. Step 4: Simplify right side
   71,686x = 12,371,000,625
5. Step 5: Solve for x
   x = 12,371,000,625/71,686
6. Step 6: Final answer
   x = 172,572.06