Finding the Third Proportional to 90,770 and 199,459

Step by Step Solution

1. Step 1: Write the proportion equation
   90,770 : 199,459 = 199,459 : x
2. Step 2: Convert to fraction form
   90,770/199,459 = 199,459/x
3. Step 3: Cross multiply
   90,770x = 199,459 × 199,459
4. Step 4: Simplify right side
   90,770x = 39,783,892,681
5. Step 5: Solve for x
   x = 39,783,892,681/90,770
6. Step 6: Final answer
   x = 438,293.41