Finding the Third Proportional to 89,122 and 208,309

Step by Step Solution

1. Step 1: Write the proportion equation
   89,122 : 208,309 = 208,309 : x
2. Step 2: Convert to fraction form
   89,122/208,309 = 208,309/x
3. Step 3: Cross multiply
   89,122x = 208,309 × 208,309
4. Step 4: Simplify right side
   89,122x = 43,392,639,481
5. Step 5: Solve for x
   x = 43,392,639,481/89,122
6. Step 6: Final answer
   x = 486,890.32