Finding the Third Proportional to 123,366.38 and 269,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,366.38 : 269,041.50 = 269,041.50 : x
2. Step 2: Convert to fraction form
   123,366.38/269,041.50 = 269,041.50/x
3. Step 3: Cross multiply
   123,366.38x = 269,041.50 × 269,041.50
4. Step 4: Simplify right side
   123,366.38x = 72,383,328,722.25
5. Step 5: Solve for x
   x = 72,383,328,722.25/123,366.38
6. Step 6: Final answer
   x = 586,734.67