Finding the Third Proportional to 74,668 and 111,822

Step by Step Solution

1. Step 1: Write the proportion equation
   74,668 : 111,822 = 111,822 : x
2. Step 2: Convert to fraction form
   74,668/111,822 = 111,822/x
3. Step 3: Cross multiply
   74,668x = 111,822 × 111,822
4. Step 4: Simplify right side
   74,668x = 12,504,159,684
5. Step 5: Solve for x
   x = 12,504,159,684/74,668
6. Step 6: Final answer
   x = 167,463.43