Finding the Third Proportional to 424,222 and 593,404

Step by Step Solution

1. Step 1: Write the proportion equation
   424,222 : 593,404 = 593,404 : x
2. Step 2: Convert to fraction form
   424,222/593,404 = 593,404/x
3. Step 3: Cross multiply
   424,222x = 593,404 × 593,404
4. Step 4: Simplify right side
   424,222x = 352,128,307,216
5. Step 5: Solve for x
   x = 352,128,307,216/424,222
6. Step 6: Final answer
   x = 830,056.69