Finding the Third Proportional to 321,788 and 423,152

Step by Step Solution

1. Step 1: Write the proportion equation
   321,788 : 423,152 = 423,152 : x
2. Step 2: Convert to fraction form
   321,788/423,152 = 423,152/x
3. Step 3: Cross multiply
   321,788x = 423,152 × 423,152
4. Step 4: Simplify right side
   321,788x = 179,057,615,104
5. Step 5: Solve for x
   x = 179,057,615,104/321,788
6. Step 6: Final answer
   x = 556,445.91