Finding the Third Proportional to 423,878 and 594,064

Step by Step Solution

1. Step 1: Write the proportion equation
   423,878 : 594,064 = 594,064 : x
2. Step 2: Convert to fraction form
   423,878/594,064 = 594,064/x
3. Step 3: Cross multiply
   423,878x = 594,064 × 594,064
4. Step 4: Simplify right side
   423,878x = 352,912,036,096
5. Step 5: Solve for x
   x = 352,912,036,096/423,878
6. Step 6: Final answer
   x = 832,579.27