Finding the Third Proportional to 217,833 and 333,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,833 : 333,157.50 = 333,157.50 : x
2. Step 2: Convert to fraction form
   217,833/333,157.50 = 333,157.50/x
3. Step 3: Cross multiply
   217,833x = 333,157.50 × 333,157.50
4. Step 4: Simplify right side
   217,833x = 110,993,919,806.25
5. Step 5: Solve for x
   x = 110,993,919,806.25/217,833
6. Step 6: Final answer
   x = 509,536.75