Finding the Third Proportional to 262,834.50 and 411,768

Step by Step Solution

1. Step 1: Write the proportion equation
   262,834.50 : 411,768 = 411,768 : x
2. Step 2: Convert to fraction form
   262,834.50/411,768 = 411,768/x
3. Step 3: Cross multiply
   262,834.50x = 411,768 × 411,768
4. Step 4: Simplify right side
   262,834.50x = 169,552,885,824
5. Step 5: Solve for x
   x = 169,552,885,824/262,834.50
6. Step 6: Final answer
   x = 645,093.72