Finding the Third Proportional to 418,299 and 646,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   418,299 : 646,333.50 = 646,333.50 : x
2. Step 2: Convert to fraction form
   418,299/646,333.50 = 646,333.50/x
3. Step 3: Cross multiply
   418,299x = 646,333.50 × 646,333.50
4. Step 4: Simplify right side
   418,299x = 417,746,993,222.25
5. Step 5: Solve for x
   x = 417,746,993,222.25/418,299
6. Step 6: Final answer
   x = 998,680.35