Finding the Third Proportional to 105,710 and 161,916

Step by Step Solution

1. Step 1: Write the proportion equation
   105,710 : 161,916 = 161,916 : x
2. Step 2: Convert to fraction form
   105,710/161,916 = 161,916/x
3. Step 3: Cross multiply
   105,710x = 161,916 × 161,916
4. Step 4: Simplify right side
   105,710x = 26,216,791,056
5. Step 5: Solve for x
   x = 26,216,791,056/105,710
6. Step 6: Final answer
   x = 248,006.73