Finding the Third Proportional to 105,325 and 161,506

Step by Step Solution

1. Step 1: Write the proportion equation
   105,325 : 161,506 = 161,506 : x
2. Step 2: Convert to fraction form
   105,325/161,506 = 161,506/x
3. Step 3: Cross multiply
   105,325x = 161,506 × 161,506
4. Step 4: Simplify right side
   105,325x = 26,084,188,036
5. Step 5: Solve for x
   x = 26,084,188,036/105,325
6. Step 6: Final answer
   x = 247,654.29