Finding the Third Proportional to 213,780 and 338,492

Step by Step Solution

1. Step 1: Write the proportion equation
   213,780 : 338,492 = 338,492 : x
2. Step 2: Convert to fraction form
   213,780/338,492 = 338,492/x
3. Step 3: Cross multiply
   213,780x = 338,492 × 338,492
4. Step 4: Simplify right side
   213,780x = 114,576,834,064
5. Step 5: Solve for x
   x = 114,576,834,064/213,780
6. Step 6: Final answer
   x = 535,956.75