Finding the Third Proportional to 82,037.50 and 179,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,037.50 : 179,258.50 = 179,258.50 : x
2. Step 2: Convert to fraction form
   82,037.50/179,258.50 = 179,258.50/x
3. Step 3: Cross multiply
   82,037.50x = 179,258.50 × 179,258.50
4. Step 4: Simplify right side
   82,037.50x = 32,133,609,822.25
5. Step 5: Solve for x
   x = 32,133,609,822.25/82,037.50
6. Step 6: Final answer
   x = 391,694.16