Finding the Third Proportional to 201,780 and 282,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,780 : 282,789.50 = 282,789.50 : x
2. Step 2: Convert to fraction form
   201,780/282,789.50 = 282,789.50/x
3. Step 3: Cross multiply
   201,780x = 282,789.50 × 282,789.50
4. Step 4: Simplify right side
   201,780x = 79,969,901,310.25
5. Step 5: Solve for x
   x = 79,969,901,310.25/201,780
6. Step 6: Final answer
   x = 396,322.24