Finding the Third Proportional to 72,864 and 114,480

Step by Step Solution

1. Step 1: Write the proportion equation
   72,864 : 114,480 = 114,480 : x
2. Step 2: Convert to fraction form
   72,864/114,480 = 114,480/x
3. Step 3: Cross multiply
   72,864x = 114,480 × 114,480
4. Step 4: Simplify right side
   72,864x = 13,105,670,400
5. Step 5: Solve for x
   x = 13,105,670,400/72,864
6. Step 6: Final answer
   x = 179,864.82