Finding the Third Proportional to 107,689.50 and 158,078.25

Step by Step Solution

1. Step 1: Write the proportion equation
   107,689.50 : 158,078.25 = 158,078.25 : x
2. Step 2: Convert to fraction form
   107,689.50/158,078.25 = 158,078.25/x
3. Step 3: Cross multiply
   107,689.50x = 158,078.25 × 158,078.25
4. Step 4: Simplify right side
   107,689.50x = 24,988,733,123.06
5. Step 5: Solve for x
   x = 24,988,733,123.06/107,689.50
6. Step 6: Final answer
   x = 232,044.29