Finding the Third Proportional to 361,314.25 and 778,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   361,314.25 : 778,123.50 = 778,123.50 : x
2. Step 2: Convert to fraction form
   361,314.25/778,123.50 = 778,123.50/x
3. Step 3: Cross multiply
   361,314.25x = 778,123.50 × 778,123.50
4. Step 4: Simplify right side
   361,314.25x = 605,476,181,252.25
5. Step 5: Solve for x
   x = 605,476,181,252.25/361,314.25
6. Step 6: Final answer
   x = 1,675,760.59