Finding the Third Proportional to 119,680 and 262,688

Step by Step Solution

1. Step 1: Write the proportion equation
   119,680 : 262,688 = 262,688 : x
2. Step 2: Convert to fraction form
   119,680/262,688 = 262,688/x
3. Step 3: Cross multiply
   119,680x = 262,688 × 262,688
4. Step 4: Simplify right side
   119,680x = 69,004,985,344
5. Step 5: Solve for x
   x = 69,004,985,344/119,680
6. Step 6: Final answer
   x = 576,579.09