Finding the Third Proportional to 345,144 and 707,016

Step by Step Solution

1. Step 1: Write the proportion equation
   345,144 : 707,016 = 707,016 : x
2. Step 2: Convert to fraction form
   345,144/707,016 = 707,016/x
3. Step 3: Cross multiply
   345,144x = 707,016 × 707,016
4. Step 4: Simplify right side
   345,144x = 499,871,624,256
5. Step 5: Solve for x
   x = 499,871,624,256/345,144
6. Step 6: Final answer
   x = 1,448,298.75