Finding the Third Proportional to 472,783 and 709,662

Step by Step Solution

1. Step 1: Write the proportion equation
   472,783 : 709,662 = 709,662 : x
2. Step 2: Convert to fraction form
   472,783/709,662 = 709,662/x
3. Step 3: Cross multiply
   472,783x = 709,662 × 709,662
4. Step 4: Simplify right side
   472,783x = 503,620,154,244
5. Step 5: Solve for x
   x = 503,620,154,244/472,783
6. Step 6: Final answer
   x = 1,065,224.75