Finding the Third Proportional to 119,856 and 262,752

Step by Step Solution

1. Step 1: Write the proportion equation
   119,856 : 262,752 = 262,752 : x
2. Step 2: Convert to fraction form
   119,856/262,752 = 262,752/x
3. Step 3: Cross multiply
   119,856x = 262,752 × 262,752
4. Step 4: Simplify right side
   119,856x = 69,038,613,504
5. Step 5: Solve for x
   x = 69,038,613,504/119,856
6. Step 6: Final answer
   x = 576,012.99