Finding the Third Proportional to 51,144 and 109,396

Step by Step Solution

1. Step 1: Write the proportion equation
   51,144 : 109,396 = 109,396 : x
2. Step 2: Convert to fraction form
   51,144/109,396 = 109,396/x
3. Step 3: Cross multiply
   51,144x = 109,396 × 109,396
4. Step 4: Simplify right side
   51,144x = 11,967,484,816
5. Step 5: Solve for x
   x = 11,967,484,816/51,144
6. Step 6: Final answer
   x = 233,995.87