Finding the Third Proportional to 105,381 and 161,580

Step by Step Solution

1. Step 1: Write the proportion equation
   105,381 : 161,580 = 161,580 : x
2. Step 2: Convert to fraction form
   105,381/161,580 = 161,580/x
3. Step 3: Cross multiply
   105,381x = 161,580 × 161,580
4. Step 4: Simplify right side
   105,381x = 26,108,096,400
5. Step 5: Solve for x
   x = 26,108,096,400/105,381
6. Step 6: Final answer
   x = 247,749.56