Finding the Third Proportional to 80,656 and 185,128

Step by Step Solution

1. Step 1: Write the proportion equation
   80,656 : 185,128 = 185,128 : x
2. Step 2: Convert to fraction form
   80,656/185,128 = 185,128/x
3. Step 3: Cross multiply
   80,656x = 185,128 × 185,128
4. Step 4: Simplify right side
   80,656x = 34,272,376,384
5. Step 5: Solve for x
   x = 34,272,376,384/80,656
6. Step 6: Final answer
   x = 424,920.36