Finding the Third Proportional to 137,016 and 204,966

Step by Step Solution

1. Step 1: Write the proportion equation
   137,016 : 204,966 = 204,966 : x
2. Step 2: Convert to fraction form
   137,016/204,966 = 204,966/x
3. Step 3: Cross multiply
   137,016x = 204,966 × 204,966
4. Step 4: Simplify right side
   137,016x = 42,011,061,156
5. Step 5: Solve for x
   x = 42,011,061,156/137,016
6. Step 6: Final answer
   x = 306,614.27