Finding the Third Proportional to 105,978 and 160,047

Step by Step Solution

1. Step 1: Write the proportion equation
   105,978 : 160,047 = 160,047 : x
2. Step 2: Convert to fraction form
   105,978/160,047 = 160,047/x
3. Step 3: Cross multiply
   105,978x = 160,047 × 160,047
4. Step 4: Simplify right side
   105,978x = 25,615,042,209
5. Step 5: Solve for x
   x = 25,615,042,209/105,978
6. Step 6: Final answer
   x = 241,701.51