Finding the Third Proportional to 52,224 and 114,816

Step by Step Solution

1. Step 1: Write the proportion equation
   52,224 : 114,816 = 114,816 : x
2. Step 2: Convert to fraction form
   52,224/114,816 = 114,816/x
3. Step 3: Cross multiply
   52,224x = 114,816 × 114,816
4. Step 4: Simplify right side
   52,224x = 13,182,713,856
5. Step 5: Solve for x
   x = 13,182,713,856/52,224
6. Step 6: Final answer
   x = 252,426.35