Finding the Third Proportional to 103,710 and 164,906

Step by Step Solution

1. Step 1: Write the proportion equation
   103,710 : 164,906 = 164,906 : x
2. Step 2: Convert to fraction form
   103,710/164,906 = 164,906/x
3. Step 3: Cross multiply
   103,710x = 164,906 × 164,906
4. Step 4: Simplify right side
   103,710x = 27,193,988,836
5. Step 5: Solve for x
   x = 27,193,988,836/103,710
6. Step 6: Final answer
   x = 262,211.83