Finding the Third Proportional to 111,624 and 167,436

Step by Step Solution

1. Step 1: Write the proportion equation
   111,624 : 167,436 = 167,436 : x
2. Step 2: Convert to fraction form
   111,624/167,436 = 167,436/x
3. Step 3: Cross multiply
   111,624x = 167,436 × 167,436
4. Step 4: Simplify right side
   111,624x = 28,034,814,096
5. Step 5: Solve for x
   x = 28,034,814,096/111,624
6. Step 6: Final answer
   x = 251,154