Finding the Third Proportional to 477,632 and 649,012

Step by Step Solution

1. Step 1: Write the proportion equation
   477,632 : 649,012 = 649,012 : x
2. Step 2: Convert to fraction form
   477,632/649,012 = 649,012/x
3. Step 3: Cross multiply
   477,632x = 649,012 × 649,012
4. Step 4: Simplify right side
   477,632x = 421,216,576,144
5. Step 5: Solve for x
   x = 421,216,576,144/477,632
6. Step 6: Final answer
   x = 881,885.17