Finding the Third Proportional to 123,585.50 and 269,824

Step by Step Solution

1. Step 1: Write the proportion equation
   123,585.50 : 269,824 = 269,824 : x
2. Step 2: Convert to fraction form
   123,585.50/269,824 = 269,824/x
3. Step 3: Cross multiply
   123,585.50x = 269,824 × 269,824
4. Step 4: Simplify right side
   123,585.50x = 72,804,990,976
5. Step 5: Solve for x
   x = 72,804,990,976/123,585.50
6. Step 6: Final answer
   x = 589,106.25