Finding the Third Proportional to 59,376 and 120,942

Step by Step Solution

1. Step 1: Write the proportion equation
   59,376 : 120,942 = 120,942 : x
2. Step 2: Convert to fraction form
   59,376/120,942 = 120,942/x
3. Step 3: Cross multiply
   59,376x = 120,942 × 120,942
4. Step 4: Simplify right side
   59,376x = 14,626,967,364
5. Step 5: Solve for x
   x = 14,626,967,364/59,376
6. Step 6: Final answer
   x = 246,344.78