Finding the Third Proportional to 81,132 and 174,336

Step by Step Solution

1. Step 1: Write the proportion equation
   81,132 : 174,336 = 174,336 : x
2. Step 2: Convert to fraction form
   81,132/174,336 = 174,336/x
3. Step 3: Cross multiply
   81,132x = 174,336 × 174,336
4. Step 4: Simplify right side
   81,132x = 30,393,040,896
5. Step 5: Solve for x
   x = 30,393,040,896/81,132
6. Step 6: Final answer
   x = 374,612.25