Finding the Third Proportional to 199,569 and 286,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,569 : 286,894.50 = 286,894.50 : x
2. Step 2: Convert to fraction form
   199,569/286,894.50 = 286,894.50/x
3. Step 3: Cross multiply
   199,569x = 286,894.50 × 286,894.50
4. Step 4: Simplify right side
   199,569x = 82,308,454,130.25
5. Step 5: Solve for x
   x = 82,308,454,130.25/199,569
6. Step 6: Final answer
   x = 412,431.06