Finding the Third Proportional to 105,642 and 158,472

Step by Step Solution

1. Step 1: Write the proportion equation
   105,642 : 158,472 = 158,472 : x
2. Step 2: Convert to fraction form
   105,642/158,472 = 158,472/x
3. Step 3: Cross multiply
   105,642x = 158,472 × 158,472
4. Step 4: Simplify right side
   105,642x = 25,113,374,784
5. Step 5: Solve for x
   x = 25,113,374,784/105,642
6. Step 6: Final answer
   x = 237,721.50