Finding the Third Proportional to 204,042 and 286,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,042 : 286,827.50 = 286,827.50 : x
2. Step 2: Convert to fraction form
   204,042/286,827.50 = 286,827.50/x
3. Step 3: Cross multiply
   204,042x = 286,827.50 × 286,827.50
4. Step 4: Simplify right side
   204,042x = 82,270,014,756.25
5. Step 5: Solve for x
   x = 82,270,014,756.25/204,042
6. Step 6: Final answer
   x = 403,201.37