Finding the Third Proportional to 46,906 and 101,288

Step by Step Solution

1. Step 1: Write the proportion equation
   46,906 : 101,288 = 101,288 : x
2. Step 2: Convert to fraction form
   46,906/101,288 = 101,288/x
3. Step 3: Cross multiply
   46,906x = 101,288 × 101,288
4. Step 4: Simplify right side
   46,906x = 10,259,258,944
5. Step 5: Solve for x
   x = 10,259,258,944/46,906
6. Step 6: Final answer
   x = 218,719.54