Finding the Third Proportional to 137,736 and 296,478

Step by Step Solution

1. Step 1: Write the proportion equation
   137,736 : 296,478 = 296,478 : x
2. Step 2: Convert to fraction form
   137,736/296,478 = 296,478/x
3. Step 3: Cross multiply
   137,736x = 296,478 × 296,478
4. Step 4: Simplify right side
   137,736x = 87,899,204,484
5. Step 5: Solve for x
   x = 87,899,204,484/137,736
6. Step 6: Final answer
   x = 638,171.61