Finding the Third Proportional to 186,675 and 287,096

Step by Step Solution

1. Step 1: Write the proportion equation
   186,675 : 287,096 = 287,096 : x
2. Step 2: Convert to fraction form
   186,675/287,096 = 287,096/x
3. Step 3: Cross multiply
   186,675x = 287,096 × 287,096
4. Step 4: Simplify right side
   186,675x = 82,424,113,216
5. Step 5: Solve for x
   x = 82,424,113,216/186,675
6. Step 6: Final answer
   x = 441,538.04