Finding the Third Proportional to 49,257 and 105,522

Step by Step Solution

1. Step 1: Write the proportion equation
   49,257 : 105,522 = 105,522 : x
2. Step 2: Convert to fraction form
   49,257/105,522 = 105,522/x
3. Step 3: Cross multiply
   49,257x = 105,522 × 105,522
4. Step 4: Simplify right side
   49,257x = 11,134,892,484
5. Step 5: Solve for x
   x = 11,134,892,484/49,257
6. Step 6: Final answer
   x = 226,057.06