Finding the Third Proportional to 59,678 and 80,763

Step by Step Solution

1. Step 1: Write the proportion equation
   59,678 : 80,763 = 80,763 : x
2. Step 2: Convert to fraction form
   59,678/80,763 = 80,763/x
3. Step 3: Cross multiply
   59,678x = 80,763 × 80,763
4. Step 4: Simplify right side
   59,678x = 6,522,662,169
5. Step 5: Solve for x
   x = 6,522,662,169/59,678
6. Step 6: Final answer
   x = 109,297.60