Finding the Third Proportional to 345,138 and 707,004

Step by Step Solution

1. Step 1: Write the proportion equation
   345,138 : 707,004 = 707,004 : x
2. Step 2: Convert to fraction form
   345,138/707,004 = 707,004/x
3. Step 3: Cross multiply
   345,138x = 707,004 × 707,004
4. Step 4: Simplify right side
   345,138x = 499,854,656,016
5. Step 5: Solve for x
   x = 499,854,656,016/345,138
6. Step 6: Final answer
   x = 1,448,274.77