Finding the Third Proportional to 175,662 and 384,642

Step by Step Solution

1. Step 1: Write the proportion equation
   175,662 : 384,642 = 384,642 : x
2. Step 2: Convert to fraction form
   175,662/384,642 = 384,642/x
3. Step 3: Cross multiply
   175,662x = 384,642 × 384,642
4. Step 4: Simplify right side
   175,662x = 147,949,468,164
5. Step 5: Solve for x
   x = 147,949,468,164/175,662
6. Step 6: Final answer
   x = 842,239.46