Finding the Third Proportional to 186,856 and 287,196

Step by Step Solution

1. Step 1: Write the proportion equation
   186,856 : 287,196 = 287,196 : x
2. Step 2: Convert to fraction form
   186,856/287,196 = 287,196/x
3. Step 3: Cross multiply
   186,856x = 287,196 × 287,196
4. Step 4: Simplify right side
   186,856x = 82,481,542,416
5. Step 5: Solve for x
   x = 82,481,542,416/186,856
6. Step 6: Final answer
   x = 441,417.68