Finding the Third Proportional to 525,759 and 787,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   525,759 : 787,756.50 = 787,756.50 : x
2. Step 2: Convert to fraction form
   525,759/787,756.50 = 787,756.50/x
3. Step 3: Cross multiply
   525,759x = 787,756.50 × 787,756.50
4. Step 4: Simplify right side
   525,759x = 620,560,303,292.25
5. Step 5: Solve for x
   x = 620,560,303,292.25/525,759
6. Step 6: Final answer
   x = 1,180,313.23