Finding the Third Proportional to 50,490 and 106,056

Step by Step Solution

1. Step 1: Write the proportion equation
   50,490 : 106,056 = 106,056 : x
2. Step 2: Convert to fraction form
   50,490/106,056 = 106,056/x
3. Step 3: Cross multiply
   50,490x = 106,056 × 106,056
4. Step 4: Simplify right side
   50,490x = 11,247,875,136
5. Step 5: Solve for x
   x = 11,247,875,136/50,490
6. Step 6: Final answer
   x = 222,774.31