Finding the Third Proportional to 119,951.50 and 256,512

Step by Step Solution

1. Step 1: Write the proportion equation
   119,951.50 : 256,512 = 256,512 : x
2. Step 2: Convert to fraction form
   119,951.50/256,512 = 256,512/x
3. Step 3: Cross multiply
   119,951.50x = 256,512 × 256,512
4. Step 4: Simplify right side
   119,951.50x = 65,798,406,144
5. Step 5: Solve for x
   x = 65,798,406,144/119,951.50
6. Step 6: Final answer
   x = 548,541.75