Finding the Third Proportional to 49,870 and 106,745

Step by Step Solution

1. Step 1: Write the proportion equation
   49,870 : 106,745 = 106,745 : x
2. Step 2: Convert to fraction form
   49,870/106,745 = 106,745/x
3. Step 3: Cross multiply
   49,870x = 106,745 × 106,745
4. Step 4: Simplify right side
   49,870x = 11,394,495,025
5. Step 5: Solve for x
   x = 11,394,495,025/49,870
6. Step 6: Final answer
   x = 228,483.96