Finding the Third Proportional to 82,555 and 180,931

Step by Step Solution

1. Step 1: Write the proportion equation
   82,555 : 180,931 = 180,931 : x
2. Step 2: Convert to fraction form
   82,555/180,931 = 180,931/x
3. Step 3: Cross multiply
   82,555x = 180,931 × 180,931
4. Step 4: Simplify right side
   82,555x = 32,736,026,761
5. Step 5: Solve for x
   x = 32,736,026,761/82,555
6. Step 6: Final answer
   x = 396,535.97