Finding the Third Proportional to 71,916 and 158,142

Step by Step Solution

1. Step 1: Write the proportion equation
   71,916 : 158,142 = 158,142 : x
2. Step 2: Convert to fraction form
   71,916/158,142 = 158,142/x
3. Step 3: Cross multiply
   71,916x = 158,142 × 158,142
4. Step 4: Simplify right side
   71,916x = 25,008,892,164
5. Step 5: Solve for x
   x = 25,008,892,164/71,916
6. Step 6: Final answer
   x = 347,751.43