Finding the Third Proportional to 204,046 and 286,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,046 : 286,834.50 = 286,834.50 : x
2. Step 2: Convert to fraction form
   204,046/286,834.50 = 286,834.50/x
3. Step 3: Cross multiply
   204,046x = 286,834.50 × 286,834.50
4. Step 4: Simplify right side
   204,046x = 82,274,030,390.25
5. Step 5: Solve for x
   x = 82,274,030,390.25/204,046
6. Step 6: Final answer
   x = 403,213.15