Finding the Third Proportional to 38,256 and 82,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256 : 82,864.50 = 82,864.50 : x
2. Step 2: Convert to fraction form
   38,256/82,864.50 = 82,864.50/x
3. Step 3: Cross multiply
   38,256x = 82,864.50 × 82,864.50
4. Step 4: Simplify right side
   38,256x = 6,866,525,360.25
5. Step 5: Solve for x
   x = 6,866,525,360.25/38,256
6. Step 6: Final answer
   x = 179,488.85