Finding the Third Proportional to 298,676 and 457,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,676 : 457,103.50 = 457,103.50 : x
2. Step 2: Convert to fraction form
   298,676/457,103.50 = 457,103.50/x
3. Step 3: Cross multiply
   298,676x = 457,103.50 × 457,103.50
4. Step 4: Simplify right side
   298,676x = 208,943,609,712.25
5. Step 5: Solve for x
   x = 208,943,609,712.25/298,676
6. Step 6: Final answer
   x = 699,566.12