Finding the Third Proportional to 378,769.50 and 810,738

Step by Step Solution

1. Step 1: Write the proportion equation
   378,769.50 : 810,738 = 810,738 : x
2. Step 2: Convert to fraction form
   378,769.50/810,738 = 810,738/x
3. Step 3: Cross multiply
   378,769.50x = 810,738 × 810,738
4. Step 4: Simplify right side
   378,769.50x = 657,296,104,644
5. Step 5: Solve for x
   x = 657,296,104,644/378,769.50
6. Step 6: Final answer
   x = 1,735,345.92