Finding the Third Proportional to 214,457 and 315,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,457 : 315,441.50 = 315,441.50 : x
2. Step 2: Convert to fraction form
   214,457/315,441.50 = 315,441.50/x
3. Step 3: Cross multiply
   214,457x = 315,441.50 × 315,441.50
4. Step 4: Simplify right side
   214,457x = 99,503,339,922.25
5. Step 5: Solve for x
   x = 99,503,339,922.25/214,457
6. Step 6: Final answer
   x = 463,978.05