Finding the Third Proportional to 214,998 and 333,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,998 : 333,583.50 = 333,583.50 : x
2. Step 2: Convert to fraction form
   214,998/333,583.50 = 333,583.50/x
3. Step 3: Cross multiply
   214,998x = 333,583.50 × 333,583.50
4. Step 4: Simplify right side
   214,998x = 111,277,951,472.25
5. Step 5: Solve for x
   x = 111,277,951,472.25/214,998
6. Step 6: Final answer
   x = 517,576.68