Finding the Third Proportional to 201,456 and 423,648

Step by Step Solution

1. Step 1: Write the proportion equation
   201,456 : 423,648 = 423,648 : x
2. Step 2: Convert to fraction form
   201,456/423,648 = 423,648/x
3. Step 3: Cross multiply
   201,456x = 423,648 × 423,648
4. Step 4: Simplify right side
   201,456x = 179,477,627,904
5. Step 5: Solve for x
   x = 179,477,627,904/201,456
6. Step 6: Final answer
   x = 890,902.37