Finding the Third Proportional to 123,475.75 and 269,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,475.75 : 269,328.50 = 269,328.50 : x
2. Step 2: Convert to fraction form
   123,475.75/269,328.50 = 269,328.50/x
3. Step 3: Cross multiply
   123,475.75x = 269,328.50 × 269,328.50
4. Step 4: Simplify right side
   123,475.75x = 72,537,840,912.25
5. Step 5: Solve for x
   x = 72,537,840,912.25/123,475.75
6. Step 6: Final answer
   x = 587,466.29