Finding the Third Proportional to 90,057 and 208,467

Step by Step Solution

1. Step 1: Write the proportion equation
   90,057 : 208,467 = 208,467 : x
2. Step 2: Convert to fraction form
   90,057/208,467 = 208,467/x
3. Step 3: Cross multiply
   90,057x = 208,467 × 208,467
4. Step 4: Simplify right side
   90,057x = 43,458,490,089
5. Step 5: Solve for x
   x = 43,458,490,089/90,057
6. Step 6: Final answer
   x = 482,566.49