Finding the Third Proportional to 137,376 and 289,760

Step by Step Solution

1. Step 1: Write the proportion equation
   137,376 : 289,760 = 289,760 : x
2. Step 2: Convert to fraction form
   137,376/289,760 = 289,760/x
3. Step 3: Cross multiply
   137,376x = 289,760 × 289,760
4. Step 4: Simplify right side
   137,376x = 83,960,857,600
5. Step 5: Solve for x
   x = 83,960,857,600/137,376
6. Step 6: Final answer
   x = 611,175.59