Finding the Third Proportional to 205,265.50 and 326,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   205,265.50 : 326,870.25 = 326,870.25 : x
2. Step 2: Convert to fraction form
   205,265.50/326,870.25 = 326,870.25/x
3. Step 3: Cross multiply
   205,265.50x = 326,870.25 × 326,870.25
4. Step 4: Simplify right side
   205,265.50x = 106,844,160,335.06
5. Step 5: Solve for x
   x = 106,844,160,335.06/205,265.50
6. Step 6: Final answer
   x = 520,516.89