Finding the Third Proportional to 204,038 and 286,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,038 : 286,819.50 = 286,819.50 : x
2. Step 2: Convert to fraction form
   204,038/286,819.50 = 286,819.50/x
3. Step 3: Cross multiply
   204,038x = 286,819.50 × 286,819.50
4. Step 4: Simplify right side
   204,038x = 82,265,425,580.25
5. Step 5: Solve for x
   x = 82,265,425,580.25/204,038
6. Step 6: Final answer
   x = 403,186.79