Finding the Third Proportional to 456,678 and 649,103.63

Step by Step Solution

1. Step 1: Write the proportion equation
   456,678 : 649,103.63 = 649,103.63 : x
2. Step 2: Convert to fraction form
   456,678/649,103.63 = 649,103.63/x
3. Step 3: Cross multiply
   456,678x = 649,103.63 × 649,103.63
4. Step 4: Simplify right side
   456,678x = 421,335,515,988.14
5. Step 5: Solve for x
   x = 421,335,515,988.14/456,678
6. Step 6: Final answer
   x = 922,609.62