Finding the Third Proportional to 123,424 and 268,448

Step by Step Solution

1. Step 1: Write the proportion equation
   123,424 : 268,448 = 268,448 : x
2. Step 2: Convert to fraction form
   123,424/268,448 = 268,448/x
3. Step 3: Cross multiply
   123,424x = 268,448 × 268,448
4. Step 4: Simplify right side
   123,424x = 72,064,328,704
5. Step 5: Solve for x
   x = 72,064,328,704/123,424
6. Step 6: Final answer
   x = 583,876.14