Finding the Third Proportional to 72,270 and 113,517

Step by Step Solution

1. Step 1: Write the proportion equation
   72,270 : 113,517 = 113,517 : x
2. Step 2: Convert to fraction form
   72,270/113,517 = 113,517/x
3. Step 3: Cross multiply
   72,270x = 113,517 × 113,517
4. Step 4: Simplify right side
   72,270x = 12,886,109,289
5. Step 5: Solve for x
   x = 12,886,109,289/72,270
6. Step 6: Final answer
   x = 178,305.10