Finding the Third Proportional to 214,311 and 323,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,311 : 323,410.50 = 323,410.50 : x
2. Step 2: Convert to fraction form
   214,311/323,410.50 = 323,410.50/x
3. Step 3: Cross multiply
   214,311x = 323,410.50 × 323,410.50
4. Step 4: Simplify right side
   214,311x = 104,594,351,510.25
5. Step 5: Solve for x
   x = 104,594,351,510.25/214,311
6. Step 6: Final answer
   x = 488,049.38