Finding the Third Proportional to 71,670 and 111,347

Step by Step Solution

1. Step 1: Write the proportion equation
   71,670 : 111,347 = 111,347 : x
2. Step 2: Convert to fraction form
   71,670/111,347 = 111,347/x
3. Step 3: Cross multiply
   71,670x = 111,347 × 111,347
4. Step 4: Simplify right side
   71,670x = 12,398,154,409
5. Step 5: Solve for x
   x = 12,398,154,409/71,670
6. Step 6: Final answer
   x = 172,989.46