Finding the Third Proportional to 216,333 and 322,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,333 : 322,699.50 = 322,699.50 : x
2. Step 2: Convert to fraction form
   216,333/322,699.50 = 322,699.50/x
3. Step 3: Cross multiply
   216,333x = 322,699.50 × 322,699.50
4. Step 4: Simplify right side
   216,333x = 104,134,967,300.25
5. Step 5: Solve for x
   x = 104,134,967,300.25/216,333
6. Step 6: Final answer
   x = 481,364.23