Finding the Third Proportional to 468,644 and 709,540

Step by Step Solution

1. Step 1: Write the proportion equation
   468,644 : 709,540 = 709,540 : x
2. Step 2: Convert to fraction form
   468,644/709,540 = 709,540/x
3. Step 3: Cross multiply
   468,644x = 709,540 × 709,540
4. Step 4: Simplify right side
   468,644x = 503,447,011,600
5. Step 5: Solve for x
   x = 503,447,011,600/468,644
6. Step 6: Final answer
   x = 1,074,263.22