Finding the Third Proportional to 201,787 and 282,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,787 : 282,799.50 = 282,799.50 : x
2. Step 2: Convert to fraction form
   201,787/282,799.50 = 282,799.50/x
3. Step 3: Cross multiply
   201,787x = 282,799.50 × 282,799.50
4. Step 4: Simplify right side
   201,787x = 79,975,557,200.25
5. Step 5: Solve for x
   x = 79,975,557,200.25/201,787
6. Step 6: Final answer
   x = 396,336.52