Finding the Third Proportional to 71,775 and 158,040

Step by Step Solution

1. Step 1: Write the proportion equation
   71,775 : 158,040 = 158,040 : x
2. Step 2: Convert to fraction form
   71,775/158,040 = 158,040/x
3. Step 3: Cross multiply
   71,775x = 158,040 × 158,040
4. Step 4: Simplify right side
   71,775x = 24,976,641,600
5. Step 5: Solve for x
   x = 24,976,641,600/71,775
6. Step 6: Final answer
   x = 347,985.25