Finding the Third Proportional to 321,036 and 429,496

Step by Step Solution

1. Step 1: Write the proportion equation
   321,036 : 429,496 = 429,496 : x
2. Step 2: Convert to fraction form
   321,036/429,496 = 429,496/x
3. Step 3: Cross multiply
   321,036x = 429,496 × 429,496
4. Step 4: Simplify right side
   321,036x = 184,466,814,016
5. Step 5: Solve for x
   x = 184,466,814,016/321,036
6. Step 6: Final answer
   x = 574,598.53