Finding the Third Proportional to 423,842 and 594,012

Step by Step Solution

1. Step 1: Write the proportion equation
   423,842 : 594,012 = 594,012 : x
2. Step 2: Convert to fraction form
   423,842/594,012 = 594,012/x
3. Step 3: Cross multiply
   423,842x = 594,012 × 594,012
4. Step 4: Simplify right side
   423,842x = 352,850,256,144
5. Step 5: Solve for x
   x = 352,850,256,144/423,842
6. Step 6: Final answer
   x = 832,504.23