Finding the Third Proportional to 321,012 and 429,462

Step by Step Solution

1. Step 1: Write the proportion equation
   321,012 : 429,462 = 429,462 : x
2. Step 2: Convert to fraction form
   321,012/429,462 = 429,462/x
3. Step 3: Cross multiply
   321,012x = 429,462 × 429,462
4. Step 4: Simplify right side
   321,012x = 184,437,609,444
5. Step 5: Solve for x
   x = 184,437,609,444/321,012
6. Step 6: Final answer
   x = 574,550.51