Finding the Third Proportional to 217,825 and 333,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,825 : 333,145.50 = 333,145.50 : x
2. Step 2: Convert to fraction form
   217,825/333,145.50 = 333,145.50/x
3. Step 3: Cross multiply
   217,825x = 333,145.50 × 333,145.50
4. Step 4: Simplify right side
   217,825x = 110,985,924,170.25
5. Step 5: Solve for x
   x = 110,985,924,170.25/217,825
6. Step 6: Final answer
   x = 509,518.76