Finding the Third Proportional to 144,772 and 298,856

Step by Step Solution

1. Step 1: Write the proportion equation
   144,772 : 298,856 = 298,856 : x
2. Step 2: Convert to fraction form
   144,772/298,856 = 298,856/x
3. Step 3: Cross multiply
   144,772x = 298,856 × 298,856
4. Step 4: Simplify right side
   144,772x = 89,314,908,736
5. Step 5: Solve for x
   x = 89,314,908,736/144,772
6. Step 6: Final answer
   x = 616,934.96