Finding the Third Proportional to 82,260 and 179,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,260 : 179,626.50 = 179,626.50 : x
2. Step 2: Convert to fraction form
   82,260/179,626.50 = 179,626.50/x
3. Step 3: Cross multiply
   82,260x = 179,626.50 × 179,626.50
4. Step 4: Simplify right side
   82,260x = 32,265,679,502.25
5. Step 5: Solve for x
   x = 32,265,679,502.25/82,260
6. Step 6: Final answer
   x = 392,240.21