Finding the Third Proportional to 152,783 and 224,494

Step by Step Solution

1. Step 1: Write the proportion equation
   152,783 : 224,494 = 224,494 : x
2. Step 2: Convert to fraction form
   152,783/224,494 = 224,494/x
3. Step 3: Cross multiply
   152,783x = 224,494 × 224,494
4. Step 4: Simplify right side
   152,783x = 50,397,556,036
5. Step 5: Solve for x
   x = 50,397,556,036/152,783
6. Step 6: Final answer
   x = 329,863.64