Finding the Third Proportional to 82,215 and 108,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,215 : 108,256.50 = 108,256.50 : x
2. Step 2: Convert to fraction form
   82,215/108,256.50 = 108,256.50/x
3. Step 3: Cross multiply
   82,215x = 108,256.50 × 108,256.50
4. Step 4: Simplify right side
   82,215x = 11,719,469,792.25
5. Step 5: Solve for x
   x = 11,719,469,792.25/82,215
6. Step 6: Final answer
   x = 142,546.61