Finding the Third Proportional to 78,624 and 172,008

Step by Step Solution

1. Step 1: Write the proportion equation
   78,624 : 172,008 = 172,008 : x
2. Step 2: Convert to fraction form
   78,624/172,008 = 172,008/x
3. Step 3: Cross multiply
   78,624x = 172,008 × 172,008
4. Step 4: Simplify right side
   78,624x = 29,586,752,064
5. Step 5: Solve for x
   x = 29,586,752,064/78,624
6. Step 6: Final answer
   x = 376,306.88