Finding the Third Proportional to 216,575 and 333,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,575 : 333,320.50 = 333,320.50 : x
2. Step 2: Convert to fraction form
   216,575/333,320.50 = 333,320.50/x
3. Step 3: Cross multiply
   216,575x = 333,320.50 × 333,320.50
4. Step 4: Simplify right side
   216,575x = 111,102,555,720.25
5. Step 5: Solve for x
   x = 111,102,555,720.25/216,575
6. Step 6: Final answer
   x = 512,998.06