Finding the Third Proportional to 120,082.50 and 261,306

Step by Step Solution

1. Step 1: Write the proportion equation
   120,082.50 : 261,306 = 261,306 : x
2. Step 2: Convert to fraction form
   120,082.50/261,306 = 261,306/x
3. Step 3: Cross multiply
   120,082.50x = 261,306 × 261,306
4. Step 4: Simplify right side
   120,082.50x = 68,280,825,636
5. Step 5: Solve for x
   x = 68,280,825,636/120,082.50
6. Step 6: Final answer
   x = 568,615.96