Finding the Third Proportional to 105,297 and 161,766

Step by Step Solution

1. Step 1: Write the proportion equation
   105,297 : 161,766 = 161,766 : x
2. Step 2: Convert to fraction form
   105,297/161,766 = 161,766/x
3. Step 3: Cross multiply
   105,297x = 161,766 × 161,766
4. Step 4: Simplify right side
   105,297x = 26,168,238,756
5. Step 5: Solve for x
   x = 26,168,238,756/105,297
6. Step 6: Final answer
   x = 248,518.37