Finding the Third Proportional to 221,438.50 and 343,824

Step by Step Solution

1. Step 1: Write the proportion equation
   221,438.50 : 343,824 = 343,824 : x
2. Step 2: Convert to fraction form
   221,438.50/343,824 = 343,824/x
3. Step 3: Cross multiply
   221,438.50x = 343,824 × 343,824
4. Step 4: Simplify right side
   221,438.50x = 118,214,942,976
5. Step 5: Solve for x
   x = 118,214,942,976/221,438.50
6. Step 6: Final answer
   x = 533,850.00