Finding the Third Proportional to 52,872 and 114,458

Step by Step Solution

1. Step 1: Write the proportion equation
   52,872 : 114,458 = 114,458 : x
2. Step 2: Convert to fraction form
   52,872/114,458 = 114,458/x
3. Step 3: Cross multiply
   52,872x = 114,458 × 114,458
4. Step 4: Simplify right side
   52,872x = 13,100,633,764
5. Step 5: Solve for x
   x = 13,100,633,764/52,872
6. Step 6: Final answer
   x = 247,780.18