Finding the Third Proportional to 123,152 and 268,480

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152 : 268,480 = 268,480 : x
2. Step 2: Convert to fraction form
   123,152/268,480 = 268,480/x
3. Step 3: Cross multiply
   123,152x = 268,480 × 268,480
4. Step 4: Simplify right side
   123,152x = 72,081,510,400
5. Step 5: Solve for x
   x = 72,081,510,400/123,152
6. Step 6: Final answer
   x = 585,305.24