Finding the Third Proportional to 401,027.50 and 835,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,027.50 : 835,227.50 = 835,227.50 : x
2. Step 2: Convert to fraction form
   401,027.50/835,227.50 = 835,227.50/x
3. Step 3: Cross multiply
   401,027.50x = 835,227.50 × 835,227.50
4. Step 4: Simplify right side
   401,027.50x = 697,604,976,756.25
5. Step 5: Solve for x
   x = 697,604,976,756.25/401,027.50
6. Step 6: Final answer
   x = 1,739,543.99