Finding the Third Proportional to 105,432 and 167,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,432 : 167,538 = 167,538 : x
2. Step 2: Convert to fraction form
   105,432/167,538 = 167,538/x
3. Step 3: Cross multiply
   105,432x = 167,538 × 167,538
4. Step 4: Simplify right side
   105,432x = 28,068,981,444
5. Step 5: Solve for x
   x = 28,068,981,444/105,432
6. Step 6: Final answer
   x = 266,228.29