Finding the Third Proportional to 204,043 and 286,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,043 : 286,829.50 = 286,829.50 : x
2. Step 2: Convert to fraction form
   204,043/286,829.50 = 286,829.50/x
3. Step 3: Cross multiply
   204,043x = 286,829.50 × 286,829.50
4. Step 4: Simplify right side
   204,043x = 82,271,162,070.25
5. Step 5: Solve for x
   x = 82,271,162,070.25/204,043
6. Step 6: Final answer
   x = 403,205.02