Finding the Third Proportional to 101,863 and 133,096

Step by Step Solution

1. Step 1: Write the proportion equation
   101,863 : 133,096 = 133,096 : x
2. Step 2: Convert to fraction form
   101,863/133,096 = 133,096/x
3. Step 3: Cross multiply
   101,863x = 133,096 × 133,096
4. Step 4: Simplify right side
   101,863x = 17,714,545,216
5. Step 5: Solve for x
   x = 17,714,545,216/101,863
6. Step 6: Final answer
   x = 173,905.59