Finding the Third Proportional to 57,036 and 137,406

Step by Step Solution

1. Step 1: Write the proportion equation
   57,036 : 137,406 = 137,406 : x
2. Step 2: Convert to fraction form
   57,036/137,406 = 137,406/x
3. Step 3: Cross multiply
   57,036x = 137,406 × 137,406
4. Step 4: Simplify right side
   57,036x = 18,880,408,836
5. Step 5: Solve for x
   x = 18,880,408,836/57,036
6. Step 6: Final answer
   x = 331,026.17