Finding the Third Proportional to 120,442 and 262,334

Step by Step Solution

1. Step 1: Write the proportion equation
   120,442 : 262,334 = 262,334 : x
2. Step 2: Convert to fraction form
   120,442/262,334 = 262,334/x
3. Step 3: Cross multiply
   120,442x = 262,334 × 262,334
4. Step 4: Simplify right side
   120,442x = 68,819,127,556
5. Step 5: Solve for x
   x = 68,819,127,556/120,442
6. Step 6: Final answer
   x = 571,388.12