Finding the Third Proportional to 71,466 and 161,142

Step by Step Solution

1. Step 1: Write the proportion equation
   71,466 : 161,142 = 161,142 : x
2. Step 2: Convert to fraction form
   71,466/161,142 = 161,142/x
3. Step 3: Cross multiply
   71,466x = 161,142 × 161,142
4. Step 4: Simplify right side
   71,466x = 25,966,744,164
5. Step 5: Solve for x
   x = 25,966,744,164/71,466
6. Step 6: Final answer
   x = 363,344.03