Finding the Third Proportional to 311,872.50 and 409,518

Step by Step Solution

1. Step 1: Write the proportion equation
   311,872.50 : 409,518 = 409,518 : x
2. Step 2: Convert to fraction form
   311,872.50/409,518 = 409,518/x
3. Step 3: Cross multiply
   311,872.50x = 409,518 × 409,518
4. Step 4: Simplify right side
   311,872.50x = 167,704,992,324
5. Step 5: Solve for x
   x = 167,704,992,324/311,872.50
6. Step 6: Final answer
   x = 537,735.75