Finding the Third Proportional to 59,296 and 139,971

Step by Step Solution

1. Step 1: Write the proportion equation
   59,296 : 139,971 = 139,971 : x
2. Step 2: Convert to fraction form
   59,296/139,971 = 139,971/x
3. Step 3: Cross multiply
   59,296x = 139,971 × 139,971
4. Step 4: Simplify right side
   59,296x = 19,591,880,841
5. Step 5: Solve for x
   x = 19,591,880,841/59,296
6. Step 6: Final answer
   x = 330,408.14