Finding the Third Proportional to 120,768 and 262,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,768 : 262,282.50 = 262,282.50 : x
2. Step 2: Convert to fraction form
   120,768/262,282.50 = 262,282.50/x
3. Step 3: Cross multiply
   120,768x = 262,282.50 × 262,282.50
4. Step 4: Simplify right side
   120,768x = 68,792,109,806.25
5. Step 5: Solve for x
   x = 68,792,109,806.25/120,768
6. Step 6: Final answer
   x = 569,622.00