Finding the Third Proportional to 52,344 and 108,720

Step by Step Solution

1. Step 1: Write the proportion equation
   52,344 : 108,720 = 108,720 : x
2. Step 2: Convert to fraction form
   52,344/108,720 = 108,720/x
3. Step 3: Cross multiply
   52,344x = 108,720 × 108,720
4. Step 4: Simplify right side
   52,344x = 11,820,038,400
5. Step 5: Solve for x
   x = 11,820,038,400/52,344
6. Step 6: Final answer
   x = 225,814.58