Finding the Third Proportional to 123,360 and 268,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,360 : 268,993.50 = 268,993.50 : x
2. Step 2: Convert to fraction form
   123,360/268,993.50 = 268,993.50/x
3. Step 3: Cross multiply
   123,360x = 268,993.50 × 268,993.50
4. Step 4: Simplify right side
   123,360x = 72,357,503,042.25
5. Step 5: Solve for x
   x = 72,357,503,042.25/123,360
6. Step 6: Final answer
   x = 586,555.63