Finding the Third Proportional to 82,371.75 and 179,850

Step by Step Solution

1. Step 1: Write the proportion equation
   82,371.75 : 179,850 = 179,850 : x
2. Step 2: Convert to fraction form
   82,371.75/179,850 = 179,850/x
3. Step 3: Cross multiply
   82,371.75x = 179,850 × 179,850
4. Step 4: Simplify right side
   82,371.75x = 32,346,022,500
5. Step 5: Solve for x
   x = 32,346,022,500/82,371.75
6. Step 6: Final answer
   x = 392,683.44