Finding the Third Proportional to 105,540 and 167,113

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 167,113 = 167,113 : x
2. Step 2: Convert to fraction form
   105,540/167,113 = 167,113/x
3. Step 3: Cross multiply
   105,540x = 167,113 × 167,113
4. Step 4: Simplify right side
   105,540x = 27,926,754,769
5. Step 5: Solve for x
   x = 27,926,754,769/105,540
6. Step 6: Final answer
   x = 264,608.25