Finding the Third Proportional to 137,680 and 194,904

Step by Step Solution

1. Step 1: Write the proportion equation
   137,680 : 194,904 = 194,904 : x
2. Step 2: Convert to fraction form
   137,680/194,904 = 194,904/x
3. Step 3: Cross multiply
   137,680x = 194,904 × 194,904
4. Step 4: Simplify right side
   137,680x = 37,987,569,216
5. Step 5: Solve for x
   x = 37,987,569,216/137,680
6. Step 6: Final answer
   x = 275,912.04