Finding the Third Proportional to 111,434 and 167,680

Step by Step Solution

1. Step 1: Write the proportion equation
   111,434 : 167,680 = 167,680 : x
2. Step 2: Convert to fraction form
   111,434/167,680 = 167,680/x
3. Step 3: Cross multiply
   111,434x = 167,680 × 167,680
4. Step 4: Simplify right side
   111,434x = 28,116,582,400
5. Step 5: Solve for x
   x = 28,116,582,400/111,434
6. Step 6: Final answer
   x = 252,316.01