Finding the Third Proportional to 74,670 and 111,825

Step by Step Solution

1. Step 1: Write the proportion equation
   74,670 : 111,825 = 111,825 : x
2. Step 2: Convert to fraction form
   74,670/111,825 = 111,825/x
3. Step 3: Cross multiply
   74,670x = 111,825 × 111,825
4. Step 4: Simplify right side
   74,670x = 12,504,830,625
5. Step 5: Solve for x
   x = 12,504,830,625/74,670
6. Step 6: Final answer
   x = 167,467.93