Finding the Third Proportional to 140,772 and 298,816

Step by Step Solution

1. Step 1: Write the proportion equation
   140,772 : 298,816 = 298,816 : x
2. Step 2: Convert to fraction form
   140,772/298,816 = 298,816/x
3. Step 3: Cross multiply
   140,772x = 298,816 × 298,816
4. Step 4: Simplify right side
   140,772x = 89,291,001,856
5. Step 5: Solve for x
   x = 89,291,001,856/140,772
6. Step 6: Final answer
   x = 634,295.19