Finding the Third Proportional to 525,211 and 823,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,211 : 823,036.50 = 823,036.50 : x
2. Step 2: Convert to fraction form
   525,211/823,036.50 = 823,036.50/x
3. Step 3: Cross multiply
   525,211x = 823,036.50 × 823,036.50
4. Step 4: Simplify right side
   525,211x = 677,389,080,332.25
5. Step 5: Solve for x
   x = 677,389,080,332.25/525,211
6. Step 6: Final answer
   x = 1,289,746.56