Finding the Third Proportional to 566,082 and 769,200

Step by Step Solution

1. Step 1: Write the proportion equation
   566,082 : 769,200 = 769,200 : x
2. Step 2: Convert to fraction form
   566,082/769,200 = 769,200/x
3. Step 3: Cross multiply
   566,082x = 769,200 × 769,200
4. Step 4: Simplify right side
   566,082x = 591,668,640,000
5. Step 5: Solve for x
   x = 591,668,640,000/566,082
6. Step 6: Final answer
   x = 1,045,199.53