Finding the Third Proportional to 90,772 and 199,462

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772 : 199,462 = 199,462 : x
2. Step 2: Convert to fraction form
   90,772/199,462 = 199,462/x
3. Step 3: Cross multiply
   90,772x = 199,462 × 199,462
4. Step 4: Simplify right side
   90,772x = 39,785,089,444
5. Step 5: Solve for x
   x = 39,785,089,444/90,772
6. Step 6: Final answer
   x = 438,296.94