Finding the Third Proportional to 202,487 and 321,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,487 : 321,815.50 = 321,815.50 : x
2. Step 2: Convert to fraction form
   202,487/321,815.50 = 321,815.50/x
3. Step 3: Cross multiply
   202,487x = 321,815.50 × 321,815.50
4. Step 4: Simplify right side
   202,487x = 103,565,216,040.25
5. Step 5: Solve for x
   x = 103,565,216,040.25/202,487
6. Step 6: Final answer
   x = 511,466.00