Finding the Third Proportional to 51,108 and 78,500

Step by Step Solution

1. Step 1: Write the proportion equation
   51,108 : 78,500 = 78,500 : x
2. Step 2: Convert to fraction form
   51,108/78,500 = 78,500/x
3. Step 3: Cross multiply
   51,108x = 78,500 × 78,500
4. Step 4: Simplify right side
   51,108x = 6,162,250,000
5. Step 5: Solve for x
   x = 6,162,250,000/51,108
6. Step 6: Final answer
   x = 120,573.10