Finding the Third Proportional to 127,744.50 and 263,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,744.50 : 263,689.50 = 263,689.50 : x
2. Step 2: Convert to fraction form
   127,744.50/263,689.50 = 263,689.50/x
3. Step 3: Cross multiply
   127,744.50x = 263,689.50 × 263,689.50
4. Step 4: Simplify right side
   127,744.50x = 69,532,152,410.25
5. Step 5: Solve for x
   x = 69,532,152,410.25/127,744.50
6. Step 6: Final answer
   x = 544,306.43