Finding the Third Proportional to 132,678 and 280,334

Step by Step Solution

1. Step 1: Write the proportion equation
   132,678 : 280,334 = 280,334 : x
2. Step 2: Convert to fraction form
   132,678/280,334 = 280,334/x
3. Step 3: Cross multiply
   132,678x = 280,334 × 280,334
4. Step 4: Simplify right side
   132,678x = 78,587,151,556
5. Step 5: Solve for x
   x = 78,587,151,556/132,678
6. Step 6: Final answer
   x = 592,314.86