Finding the Third Proportional to 457,941 and 700,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   457,941 : 700,546.50 = 700,546.50 : x
2. Step 2: Convert to fraction form
   457,941/700,546.50 = 700,546.50/x
3. Step 3: Cross multiply
   457,941x = 700,546.50 × 700,546.50
4. Step 4: Simplify right side
   457,941x = 490,765,398,662.25
5. Step 5: Solve for x
   x = 490,765,398,662.25/457,941
6. Step 6: Final answer
   x = 1,071,678.23