Finding the Third Proportional to 188,644 and 285,404

Step by Step Solution

1. Step 1: Write the proportion equation
   188,644 : 285,404 = 285,404 : x
2. Step 2: Convert to fraction form
   188,644/285,404 = 285,404/x
3. Step 3: Cross multiply
   188,644x = 285,404 × 285,404
4. Step 4: Simplify right side
   188,644x = 81,455,443,216
5. Step 5: Solve for x
   x = 81,455,443,216/188,644
6. Step 6: Final answer
   x = 431,794.51