Finding the Third Proportional to 418,491 and 537,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   418,491 : 537,340.50 = 537,340.50 : x
2. Step 2: Convert to fraction form
   418,491/537,340.50 = 537,340.50/x
3. Step 3: Cross multiply
   418,491x = 537,340.50 × 537,340.50
4. Step 4: Simplify right side
   418,491x = 288,734,812,940.25
5. Step 5: Solve for x
   x = 288,734,812,940.25/418,491
6. Step 6: Final answer
   x = 689,942.71