Finding the Third Proportional to 199,416 and 423,456

Step by Step Solution

1. Step 1: Write the proportion equation
   199,416 : 423,456 = 423,456 : x
2. Step 2: Convert to fraction form
   199,416/423,456 = 423,456/x
3. Step 3: Cross multiply
   199,416x = 423,456 × 423,456
4. Step 4: Simplify right side
   199,416x = 179,314,983,936
5. Step 5: Solve for x
   x = 179,314,983,936/199,416
6. Step 6: Final answer
   x = 899,200.59