Finding the Third Proportional to 123,120 and 265,680

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 265,680 = 265,680 : x
2. Step 2: Convert to fraction form
   123,120/265,680 = 265,680/x
3. Step 3: Cross multiply
   123,120x = 265,680 × 265,680
4. Step 4: Simplify right side
   123,120x = 70,585,862,400
5. Step 5: Solve for x
   x = 70,585,862,400/123,120
6. Step 6: Final answer
   x = 573,309.47