Finding the Third Proportional to 81,324 and 173,016

Step by Step Solution

1. Step 1: Write the proportion equation
   81,324 : 173,016 = 173,016 : x
2. Step 2: Convert to fraction form
   81,324/173,016 = 173,016/x
3. Step 3: Cross multiply
   81,324x = 173,016 × 173,016
4. Step 4: Simplify right side
   81,324x = 29,934,536,256
5. Step 5: Solve for x
   x = 29,934,536,256/81,324
6. Step 6: Final answer
   x = 368,089.82