Finding the Third Proportional to 470,272 and 709,648

Step by Step Solution

1. Step 1: Write the proportion equation
   470,272 : 709,648 = 709,648 : x
2. Step 2: Convert to fraction form
   470,272/709,648 = 709,648/x
3. Step 3: Cross multiply
   470,272x = 709,648 × 709,648
4. Step 4: Simplify right side
   470,272x = 503,600,283,904
5. Step 5: Solve for x
   x = 503,600,283,904/470,272
6. Step 6: Final answer
   x = 1,070,870.23