Finding the Third Proportional to 138,800 and 298,648

Step by Step Solution

1. Step 1: Write the proportion equation
   138,800 : 298,648 = 298,648 : x
2. Step 2: Convert to fraction form
   138,800/298,648 = 298,648/x
3. Step 3: Cross multiply
   138,800x = 298,648 × 298,648
4. Step 4: Simplify right side
   138,800x = 89,190,627,904
5. Step 5: Solve for x
   x = 89,190,627,904/138,800
6. Step 6: Final answer
   x = 642,583.77