Finding the Third Proportional to 209,817 and 327,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   209,817 : 327,145.50 = 327,145.50 : x
2. Step 2: Convert to fraction form
   209,817/327,145.50 = 327,145.50/x
3. Step 3: Cross multiply
   209,817x = 327,145.50 × 327,145.50
4. Step 4: Simplify right side
   209,817x = 107,024,178,170.25
5. Step 5: Solve for x
   x = 107,024,178,170.25/209,817
6. Step 6: Final answer
   x = 510,083.44