Finding the Third Proportional to 105,278 and 161,810

Step by Step Solution

1. Step 1: Write the proportion equation
   105,278 : 161,810 = 161,810 : x
2. Step 2: Convert to fraction form
   105,278/161,810 = 161,810/x
3. Step 3: Cross multiply
   105,278x = 161,810 × 161,810
4. Step 4: Simplify right side
   105,278x = 26,182,476,100
5. Step 5: Solve for x
   x = 26,182,476,100/105,278
6. Step 6: Final answer
   x = 248,698.46