Finding the Third Proportional to 211,408 and 327,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,408 : 327,409.50 = 327,409.50 : x
2. Step 2: Convert to fraction form
   211,408/327,409.50 = 327,409.50/x
3. Step 3: Cross multiply
   211,408x = 327,409.50 × 327,409.50
4. Step 4: Simplify right side
   211,408x = 107,196,980,690.25
5. Step 5: Solve for x
   x = 107,196,980,690.25/211,408
6. Step 6: Final answer
   x = 507,062.08