Finding the Third Proportional to 363,625.50 and 777,795

Step by Step Solution

1. Step 1: Write the proportion equation
   363,625.50 : 777,795 = 777,795 : x
2. Step 2: Convert to fraction form
   363,625.50/777,795 = 777,795/x
3. Step 3: Cross multiply
   363,625.50x = 777,795 × 777,795
4. Step 4: Simplify right side
   363,625.50x = 604,965,062,025
5. Step 5: Solve for x
   x = 604,965,062,025/363,625.50
6. Step 6: Final answer
   x = 1,663,703.62