Finding the Third Proportional to 119,346 and 262,686

Step by Step Solution

1. Step 1: Write the proportion equation
   119,346 : 262,686 = 262,686 : x
2. Step 2: Convert to fraction form
   119,346/262,686 = 262,686/x
3. Step 3: Cross multiply
   119,346x = 262,686 × 262,686
4. Step 4: Simplify right side
   119,346x = 69,003,934,596
5. Step 5: Solve for x
   x = 69,003,934,596/119,346
6. Step 6: Final answer
   x = 578,183.89