Finding the Third Proportional to 457,641 and 708,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   457,641 : 708,601.50 = 708,601.50 : x
2. Step 2: Convert to fraction form
   457,641/708,601.50 = 708,601.50/x
3. Step 3: Cross multiply
   457,641x = 708,601.50 × 708,601.50
4. Step 4: Simplify right side
   457,641x = 502,116,085,802.25
5. Step 5: Solve for x
   x = 502,116,085,802.25/457,641
6. Step 6: Final answer
   x = 1,097,183.35