Finding the Third Proportional to 137,446 and 298,216

Step by Step Solution

1. Step 1: Write the proportion equation
   137,446 : 298,216 = 298,216 : x
2. Step 2: Convert to fraction form
   137,446/298,216 = 298,216/x
3. Step 3: Cross multiply
   137,446x = 298,216 × 298,216
4. Step 4: Simplify right side
   137,446x = 88,932,782,656
5. Step 5: Solve for x
   x = 88,932,782,656/137,446
6. Step 6: Final answer
   x = 647,037.98