Finding the Third Proportional to 61,096 and 137,956

Step by Step Solution

1. Step 1: Write the proportion equation
   61,096 : 137,956 = 137,956 : x
2. Step 2: Convert to fraction form
   61,096/137,956 = 137,956/x
3. Step 3: Cross multiply
   61,096x = 137,956 × 137,956
4. Step 4: Simplify right side
   61,096x = 19,031,857,936
5. Step 5: Solve for x
   x = 19,031,857,936/61,096
6. Step 6: Final answer
   x = 311,507.43