Finding the Third Proportional to 355,311 and 777,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   355,311 : 777,046.50 = 777,046.50 : x
2. Step 2: Convert to fraction form
   355,311/777,046.50 = 777,046.50/x
3. Step 3: Cross multiply
   355,311x = 777,046.50 × 777,046.50
4. Step 4: Simplify right side
   355,311x = 603,801,263,162.25
5. Step 5: Solve for x
   x = 603,801,263,162.25/355,311
6. Step 6: Final answer
   x = 1,699,359.89