Finding the Third Proportional to 51,065 and 109,144

Step by Step Solution

1. Step 1: Write the proportion equation
   51,065 : 109,144 = 109,144 : x
2. Step 2: Convert to fraction form
   51,065/109,144 = 109,144/x
3. Step 3: Cross multiply
   51,065x = 109,144 × 109,144
4. Step 4: Simplify right side
   51,065x = 11,912,412,736
5. Step 5: Solve for x
   x = 11,912,412,736/51,065
6. Step 6: Final answer
   x = 233,279.40