Finding the Third Proportional to 477,968 and 733,662

Step by Step Solution

1. Step 1: Write the proportion equation
   477,968 : 733,662 = 733,662 : x
2. Step 2: Convert to fraction form
   477,968/733,662 = 733,662/x
3. Step 3: Cross multiply
   477,968x = 733,662 × 733,662
4. Step 4: Simplify right side
   477,968x = 538,259,930,244
5. Step 5: Solve for x
   x = 538,259,930,244/477,968
6. Step 6: Final answer
   x = 1,126,142.19