Finding the Third Proportional to 114,118.50 and 165,312

Step by Step Solution

1. Step 1: Write the proportion equation
   114,118.50 : 165,312 = 165,312 : x
2. Step 2: Convert to fraction form
   114,118.50/165,312 = 165,312/x
3. Step 3: Cross multiply
   114,118.50x = 165,312 × 165,312
4. Step 4: Simplify right side
   114,118.50x = 27,328,057,344
5. Step 5: Solve for x
   x = 27,328,057,344/114,118.50
6. Step 6: Final answer
   x = 239,470.88