Finding the Third Proportional to 64,036 and 137,936

Step by Step Solution

1. Step 1: Write the proportion equation
   64,036 : 137,936 = 137,936 : x
2. Step 2: Convert to fraction form
   64,036/137,936 = 137,936/x
3. Step 3: Cross multiply
   64,036x = 137,936 × 137,936
4. Step 4: Simplify right side
   64,036x = 19,026,340,096
5. Step 5: Solve for x
   x = 19,026,340,096/64,036
6. Step 6: Final answer
   x = 297,119.43