Finding the Third Proportional to 105,028 and 161,434

Step by Step Solution

1. Step 1: Write the proportion equation
   105,028 : 161,434 = 161,434 : x
2. Step 2: Convert to fraction form
   105,028/161,434 = 161,434/x
3. Step 3: Cross multiply
   105,028x = 161,434 × 161,434
4. Step 4: Simplify right side
   105,028x = 26,060,936,356
5. Step 5: Solve for x
   x = 26,060,936,356/105,028
6. Step 6: Final answer
   x = 248,133.23