Finding the Third Proportional to 82,309.50 and 169,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,309.50 : 169,708.50 = 169,708.50 : x
2. Step 2: Convert to fraction form
   82,309.50/169,708.50 = 169,708.50/x
3. Step 3: Cross multiply
   82,309.50x = 169,708.50 × 169,708.50
4. Step 4: Simplify right side
   82,309.50x = 28,800,974,972.25
5. Step 5: Solve for x
   x = 28,800,974,972.25/82,309.50
6. Step 6: Final answer
   x = 349,910.70