Finding the Third Proportional to 91,821 and 214,521

Step by Step Solution

1. Step 1: Write the proportion equation
   91,821 : 214,521 = 214,521 : x
2. Step 2: Convert to fraction form
   91,821/214,521 = 214,521/x
3. Step 3: Cross multiply
   91,821x = 214,521 × 214,521
4. Step 4: Simplify right side
   91,821x = 46,019,259,441
5. Step 5: Solve for x
   x = 46,019,259,441/91,821
6. Step 6: Final answer
   x = 501,184.47