Finding the Third Proportional to 342,137 and 492,834

Step by Step Solution

1. Step 1: Write the proportion equation
   342,137 : 492,834 = 492,834 : x
2. Step 2: Convert to fraction form
   342,137/492,834 = 492,834/x
3. Step 3: Cross multiply
   342,137x = 492,834 × 492,834
4. Step 4: Simplify right side
   342,137x = 242,885,351,556
5. Step 5: Solve for x
   x = 242,885,351,556/342,137
6. Step 6: Final answer
   x = 709,906.71