Finding the Third Proportional to 214,564.50 and 339,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,564.50 : 339,682.50 = 339,682.50 : x
2. Step 2: Convert to fraction form
   214,564.50/339,682.50 = 339,682.50/x
3. Step 3: Cross multiply
   214,564.50x = 339,682.50 × 339,682.50
4. Step 4: Simplify right side
   214,564.50x = 115,384,200,806.25
5. Step 5: Solve for x
   x = 115,384,200,806.25/214,564.50
6. Step 6: Final answer
   x = 537,759.98