Finding the Third Proportional to 49,252 and 105,416

Step by Step Solution

1. Step 1: Write the proportion equation
   49,252 : 105,416 = 105,416 : x
2. Step 2: Convert to fraction form
   49,252/105,416 = 105,416/x
3. Step 3: Cross multiply
   49,252x = 105,416 × 105,416
4. Step 4: Simplify right side
   49,252x = 11,112,533,056
5. Step 5: Solve for x
   x = 11,112,533,056/49,252
6. Step 6: Final answer
   x = 225,626.03