Finding the Third Proportional to 438,434 and 594,144

Step by Step Solution

1. Step 1: Write the proportion equation
   438,434 : 594,144 = 594,144 : x
2. Step 2: Convert to fraction form
   438,434/594,144 = 594,144/x
3. Step 3: Cross multiply
   438,434x = 594,144 × 594,144
4. Step 4: Simplify right side
   438,434x = 353,007,092,736
5. Step 5: Solve for x
   x = 353,007,092,736/438,434
6. Step 6: Final answer
   x = 805,154.47