Finding the Third Proportional to 105,763 and 161,994

Step by Step Solution

1. Step 1: Write the proportion equation
   105,763 : 161,994 = 161,994 : x
2. Step 2: Convert to fraction form
   105,763/161,994 = 161,994/x
3. Step 3: Cross multiply
   105,763x = 161,994 × 161,994
4. Step 4: Simplify right side
   105,763x = 26,242,056,036
5. Step 5: Solve for x
   x = 26,242,056,036/105,763
6. Step 6: Final answer
   x = 248,121.33