Finding the Third Proportional to 321,016 and 429,468

Step by Step Solution

1. Step 1: Write the proportion equation
   321,016 : 429,468 = 429,468 : x
2. Step 2: Convert to fraction form
   321,016/429,468 = 429,468/x
3. Step 3: Cross multiply
   321,016x = 429,468 × 429,468
4. Step 4: Simplify right side
   321,016x = 184,442,763,024
5. Step 5: Solve for x
   x = 184,442,763,024/321,016
6. Step 6: Final answer
   x = 574,559.41