Finding the Third Proportional to 121,180 and 257,144

Step by Step Solution

1. Step 1: Write the proportion equation
   121,180 : 257,144 = 257,144 : x
2. Step 2: Convert to fraction form
   121,180/257,144 = 257,144/x
3. Step 3: Cross multiply
   121,180x = 257,144 × 257,144
4. Step 4: Simplify right side
   121,180x = 66,123,036,736
5. Step 5: Solve for x
   x = 66,123,036,736/121,180
6. Step 6: Final answer
   x = 545,659.65