Finding the Third Proportional to 123,640 and 269,928

Step by Step Solution

1. Step 1: Write the proportion equation
   123,640 : 269,928 = 269,928 : x
2. Step 2: Convert to fraction form
   123,640/269,928 = 269,928/x
3. Step 3: Cross multiply
   123,640x = 269,928 × 269,928
4. Step 4: Simplify right side
   123,640x = 72,861,125,184
5. Step 5: Solve for x
   x = 72,861,125,184/123,640
6. Step 6: Final answer
   x = 589,300.59