Finding the Third Proportional to 321,782 and 423,144

Step by Step Solution

1. Step 1: Write the proportion equation
   321,782 : 423,144 = 423,144 : x
2. Step 2: Convert to fraction form
   321,782/423,144 = 423,144/x
3. Step 3: Cross multiply
   321,782x = 423,144 × 423,144
4. Step 4: Simplify right side
   321,782x = 179,050,844,736
5. Step 5: Solve for x
   x = 179,050,844,736/321,782
6. Step 6: Final answer
   x = 556,435.24