Finding the Third Proportional to 186,848 and 287,184

Step by Step Solution

1. Step 1: Write the proportion equation
   186,848 : 287,184 = 287,184 : x
2. Step 2: Convert to fraction form
   186,848/287,184 = 287,184/x
3. Step 3: Cross multiply
   186,848x = 287,184 × 287,184
4. Step 4: Simplify right side
   186,848x = 82,474,649,856
5. Step 5: Solve for x
   x = 82,474,649,856/186,848
6. Step 6: Final answer
   x = 441,399.69