Finding the Third Proportional to 82,532.25 and 173,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,532.25 : 173,929.50 = 173,929.50 : x
2. Step 2: Convert to fraction form
   82,532.25/173,929.50 = 173,929.50/x
3. Step 3: Cross multiply
   82,532.25x = 173,929.50 × 173,929.50
4. Step 4: Simplify right side
   82,532.25x = 30,251,470,970.25
5. Step 5: Solve for x
   x = 30,251,470,970.25/82,532.25
6. Step 6: Final answer
   x = 366,541.21