Finding the Third Proportional to 83,478 and 181,110

Step by Step Solution

1. Step 1: Write the proportion equation
   83,478 : 181,110 = 181,110 : x
2. Step 2: Convert to fraction form
   83,478/181,110 = 181,110/x
3. Step 3: Cross multiply
   83,478x = 181,110 × 181,110
4. Step 4: Simplify right side
   83,478x = 32,800,832,100
5. Step 5: Solve for x
   x = 32,800,832,100/83,478
6. Step 6: Final answer
   x = 392,927.86