Finding the Third Proportional to 50,856 and 106,362

Step by Step Solution

1. Step 1: Write the proportion equation
   50,856 : 106,362 = 106,362 : x
2. Step 2: Convert to fraction form
   50,856/106,362 = 106,362/x
3. Step 3: Cross multiply
   50,856x = 106,362 × 106,362
4. Step 4: Simplify right side
   50,856x = 11,312,875,044
5. Step 5: Solve for x
   x = 11,312,875,044/50,856
6. Step 6: Final answer
   x = 222,449.17