Finding the Third Proportional to 90,082 and 208,546

Step by Step Solution

1. Step 1: Write the proportion equation
   90,082 : 208,546 = 208,546 : x
2. Step 2: Convert to fraction form
   90,082/208,546 = 208,546/x
3. Step 3: Cross multiply
   90,082x = 208,546 × 208,546
4. Step 4: Simplify right side
   90,082x = 43,491,434,116
5. Step 5: Solve for x
   x = 43,491,434,116/90,082
6. Step 6: Final answer
   x = 482,798.27