Finding the Third Proportional to 456,701 and 638,496

Step by Step Solution

1. Step 1: Write the proportion equation
   456,701 : 638,496 = 638,496 : x
2. Step 2: Convert to fraction form
   456,701/638,496 = 638,496/x
3. Step 3: Cross multiply
   456,701x = 638,496 × 638,496
4. Step 4: Simplify right side
   456,701x = 407,677,142,016
5. Step 5: Solve for x
   x = 407,677,142,016/456,701
6. Step 6: Final answer
   x = 892,656.56