Finding the Third Proportional to 73,824 and 111,624

Step by Step Solution

1. Step 1: Write the proportion equation
   73,824 : 111,624 = 111,624 : x
2. Step 2: Convert to fraction form
   73,824/111,624 = 111,624/x
3. Step 3: Cross multiply
   73,824x = 111,624 × 111,624
4. Step 4: Simplify right side
   73,824x = 12,459,917,376
5. Step 5: Solve for x
   x = 12,459,917,376/73,824
6. Step 6: Final answer
   x = 168,778.68