Finding the Third Proportional to 121,014 and 256,425.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,014 : 256,425.75 = 256,425.75 : x
2. Step 2: Convert to fraction form
   121,014/256,425.75 = 256,425.75/x
3. Step 3: Cross multiply
   121,014x = 256,425.75 × 256,425.75
4. Step 4: Simplify right side
   121,014x = 65,754,165,263.06
5. Step 5: Solve for x
   x = 65,754,165,263.06/121,014
6. Step 6: Final answer
   x = 543,359.99