Finding the Third Proportional to 105,258 and 161,781

Step by Step Solution

1. Step 1: Write the proportion equation
   105,258 : 161,781 = 161,781 : x
2. Step 2: Convert to fraction form
   105,258/161,781 = 161,781/x
3. Step 3: Cross multiply
   105,258x = 161,781 × 161,781
4. Step 4: Simplify right side
   105,258x = 26,173,091,961
5. Step 5: Solve for x
   x = 26,173,091,961/105,258
6. Step 6: Final answer
   x = 248,656.56