Finding the Third Proportional to 71,959 and 152,686

Step by Step Solution

1. Step 1: Write the proportion equation
   71,959 : 152,686 = 152,686 : x
2. Step 2: Convert to fraction form
   71,959/152,686 = 152,686/x
3. Step 3: Cross multiply
   71,959x = 152,686 × 152,686
4. Step 4: Simplify right side
   71,959x = 23,313,014,596
5. Step 5: Solve for x
   x = 23,313,014,596/71,959
6. Step 6: Final answer
   x = 323,976.36