Finding the Third Proportional to 101,016 and 158,472

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 158,472 = 158,472 : x
2. Step 2: Convert to fraction form
   101,016/158,472 = 158,472/x
3. Step 3: Cross multiply
   101,016x = 158,472 × 158,472
4. Step 4: Simplify right side
   101,016x = 25,113,374,784
5. Step 5: Solve for x
   x = 25,113,374,784/101,016
6. Step 6: Final answer
   x = 248,607.89