Finding the Third Proportional to 137,736 and 298,624

Step by Step Solution

1. Step 1: Write the proportion equation
   137,736 : 298,624 = 298,624 : x
2. Step 2: Convert to fraction form
   137,736/298,624 = 298,624/x
3. Step 3: Cross multiply
   137,736x = 298,624 × 298,624
4. Step 4: Simplify right side
   137,736x = 89,176,293,376
5. Step 5: Solve for x
   x = 89,176,293,376/137,736
6. Step 6: Final answer
   x = 647,443.61