Finding the Third Proportional to 204,040 and 286,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,040 : 286,822.50 = 286,822.50 : x
2. Step 2: Convert to fraction form
   204,040/286,822.50 = 286,822.50/x
3. Step 3: Cross multiply
   204,040x = 286,822.50 × 286,822.50
4. Step 4: Simplify right side
   204,040x = 82,267,146,506.25
5. Step 5: Solve for x
   x = 82,267,146,506.25/204,040
6. Step 6: Final answer
   x = 403,191.27