Finding the Third Proportional to 59,338 and 120,880

Step by Step Solution

1. Step 1: Write the proportion equation
   59,338 : 120,880 = 120,880 : x
2. Step 2: Convert to fraction form
   59,338/120,880 = 120,880/x
3. Step 3: Cross multiply
   59,338x = 120,880 × 120,880
4. Step 4: Simplify right side
   59,338x = 14,611,974,400
5. Step 5: Solve for x
   x = 14,611,974,400/59,338
6. Step 6: Final answer
   x = 246,249.86