Finding the Third Proportional to 302,820 and 464,834

Step by Step Solution

1. Step 1: Write the proportion equation
   302,820 : 464,834 = 464,834 : x
2. Step 2: Convert to fraction form
   302,820/464,834 = 464,834/x
3. Step 3: Cross multiply
   302,820x = 464,834 × 464,834
4. Step 4: Simplify right side
   302,820x = 216,070,647,556
5. Step 5: Solve for x
   x = 216,070,647,556/302,820
6. Step 6: Final answer
   x = 713,528.33