Finding the Third Proportional to 52,256 and 110,968

Step by Step Solution

1. Step 1: Write the proportion equation
   52,256 : 110,968 = 110,968 : x
2. Step 2: Convert to fraction form
   52,256/110,968 = 110,968/x
3. Step 3: Cross multiply
   52,256x = 110,968 × 110,968
4. Step 4: Simplify right side
   52,256x = 12,313,897,024
5. Step 5: Solve for x
   x = 12,313,897,024/52,256
6. Step 6: Final answer
   x = 235,645.61