Finding the Third Proportional to 123,567 and 269,787

Step by Step Solution

1. Step 1: Write the proportion equation
   123,567 : 269,787 = 269,787 : x
2. Step 2: Convert to fraction form
   123,567/269,787 = 269,787/x
3. Step 3: Cross multiply
   123,567x = 269,787 × 269,787
4. Step 4: Simplify right side
   123,567x = 72,785,025,369
5. Step 5: Solve for x
   x = 72,785,025,369/123,567
6. Step 6: Final answer
   x = 589,032.88