Finding the Third Proportional to 105,309 and 167,400

Step by Step Solution

1. Step 1: Write the proportion equation
   105,309 : 167,400 = 167,400 : x
2. Step 2: Convert to fraction form
   105,309/167,400 = 167,400/x
3. Step 3: Cross multiply
   105,309x = 167,400 × 167,400
4. Step 4: Simplify right side
   105,309x = 28,022,760,000
5. Step 5: Solve for x
   x = 28,022,760,000/105,309
6. Step 6: Final answer
   x = 266,100.33