Finding the Third Proportional to 90,612 and 213,192

Step by Step Solution

1. Step 1: Write the proportion equation
   90,612 : 213,192 = 213,192 : x
2. Step 2: Convert to fraction form
   90,612/213,192 = 213,192/x
3. Step 3: Cross multiply
   90,612x = 213,192 × 213,192
4. Step 4: Simplify right side
   90,612x = 45,450,828,864
5. Step 5: Solve for x
   x = 45,450,828,864/90,612
6. Step 6: Final answer
   x = 501,598.34