Finding the Third Proportional to 106,510 and 161,710

Step by Step Solution

1. Step 1: Write the proportion equation
   106,510 : 161,710 = 161,710 : x
2. Step 2: Convert to fraction form
   106,510/161,710 = 161,710/x
3. Step 3: Cross multiply
   106,510x = 161,710 × 161,710
4. Step 4: Simplify right side
   106,510x = 26,150,124,100
5. Step 5: Solve for x
   x = 26,150,124,100/106,510
6. Step 6: Final answer
   x = 245,518.02