Finding the Third Proportional to 282,354 and 424,164

Step by Step Solution

1. Step 1: Write the proportion equation
   282,354 : 424,164 = 424,164 : x
2. Step 2: Convert to fraction form
   282,354/424,164 = 424,164/x
3. Step 3: Cross multiply
   282,354x = 424,164 × 424,164
4. Step 4: Simplify right side
   282,354x = 179,915,098,896
5. Step 5: Solve for x
   x = 179,915,098,896/282,354
6. Step 6: Final answer
   x = 637,196.92