Finding the Third Proportional to 378,960 and 810,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,960 : 810,427.50 = 810,427.50 : x
2. Step 2: Convert to fraction form
   378,960/810,427.50 = 810,427.50/x
3. Step 3: Cross multiply
   378,960x = 810,427.50 × 810,427.50
4. Step 4: Simplify right side
   378,960x = 656,792,732,756.25
5. Step 5: Solve for x
   x = 656,792,732,756.25/378,960
6. Step 6: Final answer
   x = 1,733,145.27