Finding the Third Proportional to 49,300 and 106,231

Step by Step Solution

1. Step 1: Write the proportion equation
   49,300 : 106,231 = 106,231 : x
2. Step 2: Convert to fraction form
   49,300/106,231 = 106,231/x
3. Step 3: Cross multiply
   49,300x = 106,231 × 106,231
4. Step 4: Simplify right side
   49,300x = 11,285,025,361
5. Step 5: Solve for x
   x = 11,285,025,361/49,300
6. Step 6: Final answer
   x = 228,905.18