Finding the Third Proportional to 49,024 and 106,144

Step by Step Solution

1. Step 1: Write the proportion equation
   49,024 : 106,144 = 106,144 : x
2. Step 2: Convert to fraction form
   49,024/106,144 = 106,144/x
3. Step 3: Cross multiply
   49,024x = 106,144 × 106,144
4. Step 4: Simplify right side
   49,024x = 11,266,548,736
5. Step 5: Solve for x
   x = 11,266,548,736/49,024
6. Step 6: Final answer
   x = 229,817.00