Finding the Third Proportional to 214,401 and 315,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,401 : 315,181.50 = 315,181.50 : x
2. Step 2: Convert to fraction form
   214,401/315,181.50 = 315,181.50/x
3. Step 3: Cross multiply
   214,401x = 315,181.50 × 315,181.50
4. Step 4: Simplify right side
   214,401x = 99,339,377,942.25
5. Step 5: Solve for x
   x = 99,339,377,942.25/214,401
6. Step 6: Final answer
   x = 463,334.49