Finding the Third Proportional to 201,774 and 282,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,774 : 282,780.50 = 282,780.50 : x
2. Step 2: Convert to fraction form
   201,774/282,780.50 = 282,780.50/x
3. Step 3: Cross multiply
   201,774x = 282,780.50 × 282,780.50
4. Step 4: Simplify right side
   201,774x = 79,964,811,180.25
5. Step 5: Solve for x
   x = 79,964,811,180.25/201,774
6. Step 6: Final answer
   x = 396,308.80