Finding the Third Proportional to 120,704 and 269,056

Step by Step Solution

1. Step 1: Write the proportion equation
   120,704 : 269,056 = 269,056 : x
2. Step 2: Convert to fraction form
   120,704/269,056 = 269,056/x
3. Step 3: Cross multiply
   120,704x = 269,056 × 269,056
4. Step 4: Simplify right side
   120,704x = 72,391,131,136
5. Step 5: Solve for x
   x = 72,391,131,136/120,704
6. Step 6: Final answer
   x = 599,740.95