Finding the Third Proportional to 71,911 and 112,561

Step by Step Solution

1. Step 1: Write the proportion equation
   71,911 : 112,561 = 112,561 : x
2. Step 2: Convert to fraction form
   71,911/112,561 = 112,561/x
3. Step 3: Cross multiply
   71,911x = 112,561 × 112,561
4. Step 4: Simplify right side
   71,911x = 12,669,978,721
5. Step 5: Solve for x
   x = 12,669,978,721/71,911
6. Step 6: Final answer
   x = 176,189.72