Finding the Third Proportional to 52,592 and 114,256

Step by Step Solution

1. Step 1: Write the proportion equation
   52,592 : 114,256 = 114,256 : x
2. Step 2: Convert to fraction form
   52,592/114,256 = 114,256/x
3. Step 3: Cross multiply
   52,592x = 114,256 × 114,256
4. Step 4: Simplify right side
   52,592x = 13,054,433,536
5. Step 5: Solve for x
   x = 13,054,433,536/52,592
6. Step 6: Final answer
   x = 248,220.90