Finding the Third Proportional to 82,579.50 and 126,532.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,579.50 : 126,532.25 = 126,532.25 : x
2. Step 2: Convert to fraction form
   82,579.50/126,532.25 = 126,532.25/x
3. Step 3: Cross multiply
   82,579.50x = 126,532.25 × 126,532.25
4. Step 4: Simplify right side
   82,579.50x = 16,010,410,290.06
5. Step 5: Solve for x
   x = 16,010,410,290.06/82,579.50
6. Step 6: Final answer
   x = 193,878.75