Finding the Third Proportional to 38,863.50 and 83,239.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,863.50 : 83,239.88 = 83,239.88 : x
2. Step 2: Convert to fraction form
   38,863.50/83,239.88 = 83,239.88/x
3. Step 3: Cross multiply
   38,863.50x = 83,239.88 × 83,239.88
4. Step 4: Simplify right side
   38,863.50x = 6,928,876,790.02
5. Step 5: Solve for x
   x = 6,928,876,790.02/38,863.50
6. Step 6: Final answer
   x = 178,287.51