Finding the Third Proportional to 90,213 and 204,041

Step by Step Solution

1. Step 1: Write the proportion equation
   90,213 : 204,041 = 204,041 : x
2. Step 2: Convert to fraction form
   90,213/204,041 = 204,041/x
3. Step 3: Cross multiply
   90,213x = 204,041 × 204,041
4. Step 4: Simplify right side
   90,213x = 41,632,729,681
5. Step 5: Solve for x
   x = 41,632,729,681/90,213
6. Step 6: Final answer
   x = 461,493.68