Finding the Third Proportional to 123,024 and 260,736

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024 : 260,736 = 260,736 : x
2. Step 2: Convert to fraction form
   123,024/260,736 = 260,736/x
3. Step 3: Cross multiply
   123,024x = 260,736 × 260,736
4. Step 4: Simplify right side
   123,024x = 67,983,261,696
5. Step 5: Solve for x
   x = 67,983,261,696/123,024
6. Step 6: Final answer
   x = 552,601.62