Finding the Third Proportional to 152,711.50 and 233,016

Step by Step Solution

1. Step 1: Write the proportion equation
   152,711.50 : 233,016 = 233,016 : x
2. Step 2: Convert to fraction form
   152,711.50/233,016 = 233,016/x
3. Step 3: Cross multiply
   152,711.50x = 233,016 × 233,016
4. Step 4: Simplify right side
   152,711.50x = 54,296,456,256
5. Step 5: Solve for x
   x = 54,296,456,256/152,711.50
6. Step 6: Final answer
   x = 355,549.23