Finding the Third Proportional to 72,806 and 113,096

Step by Step Solution

1. Step 1: Write the proportion equation
   72,806 : 113,096 = 113,096 : x
2. Step 2: Convert to fraction form
   72,806/113,096 = 113,096/x
3. Step 3: Cross multiply
   72,806x = 113,096 × 113,096
4. Step 4: Simplify right side
   72,806x = 12,790,705,216
5. Step 5: Solve for x
   x = 12,790,705,216/72,806
6. Step 6: Final answer
   x = 175,682.02