Finding the Third Proportional to 211,824 and 324,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,824 : 324,499.50 = 324,499.50 : x
2. Step 2: Convert to fraction form
   211,824/324,499.50 = 324,499.50/x
3. Step 3: Cross multiply
   211,824x = 324,499.50 × 324,499.50
4. Step 4: Simplify right side
   211,824x = 105,299,925,500.25
5. Step 5: Solve for x
   x = 105,299,925,500.25/211,824
6. Step 6: Final answer
   x = 497,110.46