Finding the Third Proportional to 50,872.50 and 106,281

Step by Step Solution

1. Step 1: Write the proportion equation
   50,872.50 : 106,281 = 106,281 : x
2. Step 2: Convert to fraction form
   50,872.50/106,281 = 106,281/x
3. Step 3: Cross multiply
   50,872.50x = 106,281 × 106,281
4. Step 4: Simplify right side
   50,872.50x = 11,295,650,961
5. Step 5: Solve for x
   x = 11,295,650,961/50,872.50
6. Step 6: Final answer
   x = 222,038.45