Finding the Third Proportional to 138,208 and 298,472

Step by Step Solution

1. Step 1: Write the proportion equation
   138,208 : 298,472 = 298,472 : x
2. Step 2: Convert to fraction form
   138,208/298,472 = 298,472/x
3. Step 3: Cross multiply
   138,208x = 298,472 × 298,472
4. Step 4: Simplify right side
   138,208x = 89,085,534,784
5. Step 5: Solve for x
   x = 89,085,534,784/138,208
6. Step 6: Final answer
   x = 644,575.82