Finding the Third Proportional to 52,458 and 114,258

Step by Step Solution

1. Step 1: Write the proportion equation
   52,458 : 114,258 = 114,258 : x
2. Step 2: Convert to fraction form
   52,458/114,258 = 114,258/x
3. Step 3: Cross multiply
   52,458x = 114,258 × 114,258
4. Step 4: Simplify right side
   52,458x = 13,054,890,564
5. Step 5: Solve for x
   x = 13,054,890,564/52,458
6. Step 6: Final answer
   x = 248,863.67