Finding the Third Proportional to 123,297 and 269,424

Step by Step Solution

1. Step 1: Write the proportion equation
   123,297 : 269,424 = 269,424 : x
2. Step 2: Convert to fraction form
   123,297/269,424 = 269,424/x
3. Step 3: Cross multiply
   123,297x = 269,424 × 269,424
4. Step 4: Simplify right side
   123,297x = 72,589,291,776
5. Step 5: Solve for x
   x = 72,589,291,776/123,297
6. Step 6: Final answer
   x = 588,735.26