Finding the Third Proportional to 52,228 and 114,824

Step by Step Solution

1. Step 1: Write the proportion equation
   52,228 : 114,824 = 114,824 : x
2. Step 2: Convert to fraction form
   52,228/114,824 = 114,824/x
3. Step 3: Cross multiply
   52,228x = 114,824 × 114,824
4. Step 4: Simplify right side
   52,228x = 13,184,550,976
5. Step 5: Solve for x
   x = 13,184,550,976/52,228
6. Step 6: Final answer
   x = 252,442.20