Finding the Third Proportional to 216,576 and 333,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,576 : 333,322.50 = 333,322.50 : x
2. Step 2: Convert to fraction form
   216,576/333,322.50 = 333,322.50/x
3. Step 3: Cross multiply
   216,576x = 333,322.50 × 333,322.50
4. Step 4: Simplify right side
   216,576x = 111,103,889,006.25
5. Step 5: Solve for x
   x = 111,103,889,006.25/216,576
6. Step 6: Final answer
   x = 513,001.85