Finding the Third Proportional to 90,086 and 208,556

Step by Step Solution

1. Step 1: Write the proportion equation
   90,086 : 208,556 = 208,556 : x
2. Step 2: Convert to fraction form
   90,086/208,556 = 208,556/x
3. Step 3: Cross multiply
   90,086x = 208,556 × 208,556
4. Step 4: Simplify right side
   90,086x = 43,495,605,136
5. Step 5: Solve for x
   x = 43,495,605,136/90,086
6. Step 6: Final answer
   x = 482,823.14