Finding the Third Proportional to 214,284 and 339,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,284 : 339,019.50 = 339,019.50 : x
2. Step 2: Convert to fraction form
   214,284/339,019.50 = 339,019.50/x
3. Step 3: Cross multiply
   214,284x = 339,019.50 × 339,019.50
4. Step 4: Simplify right side
   214,284x = 114,934,221,380.25
5. Step 5: Solve for x
   x = 114,934,221,380.25/214,284
6. Step 6: Final answer
   x = 536,363.99