Finding the Third Proportional to 82,262.50 and 170,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,262.50 : 170,748.50 = 170,748.50 : x
2. Step 2: Convert to fraction form
   82,262.50/170,748.50 = 170,748.50/x
3. Step 3: Cross multiply
   82,262.50x = 170,748.50 × 170,748.50
4. Step 4: Simplify right side
   82,262.50x = 29,155,050,252.25
5. Step 5: Solve for x
   x = 29,155,050,252.25/82,262.50
6. Step 6: Final answer
   x = 354,414.83