Finding the Third Proportional to 72,028 and 113,952

Step by Step Solution

1. Step 1: Write the proportion equation
   72,028 : 113,952 = 113,952 : x
2. Step 2: Convert to fraction form
   72,028/113,952 = 113,952/x
3. Step 3: Cross multiply
   72,028x = 113,952 × 113,952
4. Step 4: Simplify right side
   72,028x = 12,985,058,304
5. Step 5: Solve for x
   x = 12,985,058,304/72,028
6. Step 6: Final answer
   x = 180,277.92