Finding the Third Proportional to 51,096 and 79,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,096 : 79,300.50 = 79,300.50 : x
2. Step 2: Convert to fraction form
   51,096/79,300.50 = 79,300.50/x
3. Step 3: Cross multiply
   51,096x = 79,300.50 × 79,300.50
4. Step 4: Simplify right side
   51,096x = 6,288,569,300.25
5. Step 5: Solve for x
   x = 6,288,569,300.25/51,096
6. Step 6: Final answer
   x = 123,073.61