Finding the Third Proportional to 429,144 and 582,834

Step by Step Solution

1. Step 1: Write the proportion equation
   429,144 : 582,834 = 582,834 : x
2. Step 2: Convert to fraction form
   429,144/582,834 = 582,834/x
3. Step 3: Cross multiply
   429,144x = 582,834 × 582,834
4. Step 4: Simplify right side
   429,144x = 339,695,471,556
5. Step 5: Solve for x
   x = 339,695,471,556/429,144
6. Step 6: Final answer
   x = 791,565.24