Finding the Third Proportional to 81,124 and 174,320

Step by Step Solution

1. Step 1: Write the proportion equation
   81,124 : 174,320 = 174,320 : x
2. Step 2: Convert to fraction form
   81,124/174,320 = 174,320/x
3. Step 3: Cross multiply
   81,124x = 174,320 × 174,320
4. Step 4: Simplify right side
   81,124x = 30,387,462,400
5. Step 5: Solve for x
   x = 30,387,462,400/81,124
6. Step 6: Final answer
   x = 374,580.43