Finding the Third Proportional to 221,002 and 339,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,002 : 339,893.50 = 339,893.50 : x
2. Step 2: Convert to fraction form
   221,002/339,893.50 = 339,893.50/x
3. Step 3: Cross multiply
   221,002x = 339,893.50 × 339,893.50
4. Step 4: Simplify right side
   221,002x = 115,527,591,342.25
5. Step 5: Solve for x
   x = 115,527,591,342.25/221,002
6. Step 6: Final answer
   x = 522,744.55