Finding the Third Proportional to 81,024 and 175,008

Step by Step Solution

1. Step 1: Write the proportion equation
   81,024 : 175,008 = 175,008 : x
2. Step 2: Convert to fraction form
   81,024/175,008 = 175,008/x
3. Step 3: Cross multiply
   81,024x = 175,008 × 175,008
4. Step 4: Simplify right side
   81,024x = 30,627,800,064
5. Step 5: Solve for x
   x = 30,627,800,064/81,024
6. Step 6: Final answer
   x = 378,008.99