Finding the Third Proportional to 120,772 and 262,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,772 : 262,320.50 = 262,320.50 : x
2. Step 2: Convert to fraction form
   120,772/262,320.50 = 262,320.50/x
3. Step 3: Cross multiply
   120,772x = 262,320.50 × 262,320.50
4. Step 4: Simplify right side
   120,772x = 68,812,044,720.25
5. Step 5: Solve for x
   x = 68,812,044,720.25/120,772
6. Step 6: Final answer
   x = 569,768.20