Finding the Third Proportional to 52,096 and 80,619

Step by Step Solution

1. Step 1: Write the proportion equation
   52,096 : 80,619 = 80,619 : x
2. Step 2: Convert to fraction form
   52,096/80,619 = 80,619/x
3. Step 3: Cross multiply
   52,096x = 80,619 × 80,619
4. Step 4: Simplify right side
   52,096x = 6,499,423,161
5. Step 5: Solve for x
   x = 6,499,423,161/52,096
6. Step 6: Final answer
   x = 124,758.58