Finding the Third Proportional to 333,882 and 684,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,882 : 684,166.50 = 684,166.50 : x
2. Step 2: Convert to fraction form
   333,882/684,166.50 = 684,166.50/x
3. Step 3: Cross multiply
   333,882x = 684,166.50 × 684,166.50
4. Step 4: Simplify right side
   333,882x = 468,083,799,722.25
5. Step 5: Solve for x
   x = 468,083,799,722.25/333,882
6. Step 6: Final answer
   x = 1,401,943.80