Finding the Third Proportional to 49,076 and 105,922

Step by Step Solution

1. Step 1: Write the proportion equation
   49,076 : 105,922 = 105,922 : x
2. Step 2: Convert to fraction form
   49,076/105,922 = 105,922/x
3. Step 3: Cross multiply
   49,076x = 105,922 × 105,922
4. Step 4: Simplify right side
   49,076x = 11,219,470,084
5. Step 5: Solve for x
   x = 11,219,470,084/49,076
6. Step 6: Final answer
   x = 228,614.19