Finding the Third Proportional to 49,258 and 105,518

Step by Step Solution

1. Step 1: Write the proportion equation
   49,258 : 105,518 = 105,518 : x
2. Step 2: Convert to fraction form
   49,258/105,518 = 105,518/x
3. Step 3: Cross multiply
   49,258x = 105,518 × 105,518
4. Step 4: Simplify right side
   49,258x = 11,134,048,324
5. Step 5: Solve for x
   x = 11,134,048,324/49,258
6. Step 6: Final answer
   x = 226,035.33