Finding the Third Proportional to 83,320 and 180,856

Step by Step Solution

1. Step 1: Write the proportion equation
   83,320 : 180,856 = 180,856 : x
2. Step 2: Convert to fraction form
   83,320/180,856 = 180,856/x
3. Step 3: Cross multiply
   83,320x = 180,856 × 180,856
4. Step 4: Simplify right side
   83,320x = 32,708,892,736
5. Step 5: Solve for x
   x = 32,708,892,736/83,320
6. Step 6: Final answer
   x = 392,569.52