Finding the Third Proportional to 120,018 and 262,632

Step by Step Solution

1. Step 1: Write the proportion equation
   120,018 : 262,632 = 262,632 : x
2. Step 2: Convert to fraction form
   120,018/262,632 = 262,632/x
3. Step 3: Cross multiply
   120,018x = 262,632 × 262,632
4. Step 4: Simplify right side
   120,018x = 68,975,567,424
5. Step 5: Solve for x
   x = 68,975,567,424/120,018
6. Step 6: Final answer
   x = 574,710.19