Finding the Third Proportional to 298,792.50 and 645,123

Step by Step Solution

1. Step 1: Write the proportion equation
   298,792.50 : 645,123 = 645,123 : x
2. Step 2: Convert to fraction form
   298,792.50/645,123 = 645,123/x
3. Step 3: Cross multiply
   298,792.50x = 645,123 × 645,123
4. Step 4: Simplify right side
   298,792.50x = 416,183,685,129
5. Step 5: Solve for x
   x = 416,183,685,129/298,792.50
6. Step 6: Final answer
   x = 1,392,885.31