Finding the Third Proportional to 111,427 and 167,670

Step by Step Solution

1. Step 1: Write the proportion equation
   111,427 : 167,670 = 167,670 : x
2. Step 2: Convert to fraction form
   111,427/167,670 = 167,670/x
3. Step 3: Cross multiply
   111,427x = 167,670 × 167,670
4. Step 4: Simplify right side
   111,427x = 28,113,228,900
5. Step 5: Solve for x
   x = 28,113,228,900/111,427
6. Step 6: Final answer
   x = 252,301.77