Finding the Third Proportional to 72,027 and 113,960

Step by Step Solution

1. Step 1: Write the proportion equation
   72,027 : 113,960 = 113,960 : x
2. Step 2: Convert to fraction form
   72,027/113,960 = 113,960/x
3. Step 3: Cross multiply
   72,027x = 113,960 × 113,960
4. Step 4: Simplify right side
   72,027x = 12,986,881,600
5. Step 5: Solve for x
   x = 12,986,881,600/72,027
6. Step 6: Final answer
   x = 180,305.74