Finding the Third Proportional to 71,142 and 109,791

Step by Step Solution

1. Step 1: Write the proportion equation
   71,142 : 109,791 = 109,791 : x
2. Step 2: Convert to fraction form
   71,142/109,791 = 109,791/x
3. Step 3: Cross multiply
   71,142x = 109,791 × 109,791
4. Step 4: Simplify right side
   71,142x = 12,054,063,681
5. Step 5: Solve for x
   x = 12,054,063,681/71,142
6. Step 6: Final answer
   x = 169,436.67