Finding the Third Proportional to 120,726 and 183,096

Step by Step Solution

1. Step 1: Write the proportion equation
   120,726 : 183,096 = 183,096 : x
2. Step 2: Convert to fraction form
   120,726/183,096 = 183,096/x
3. Step 3: Cross multiply
   120,726x = 183,096 × 183,096
4. Step 4: Simplify right side
   120,726x = 33,524,145,216
5. Step 5: Solve for x
   x = 33,524,145,216/120,726
6. Step 6: Final answer
   x = 277,687.87