Finding the Third Proportional to 105,729.50 and 161,943

Step by Step Solution

1. Step 1: Write the proportion equation
   105,729.50 : 161,943 = 161,943 : x
2. Step 2: Convert to fraction form
   105,729.50/161,943 = 161,943/x
3. Step 3: Cross multiply
   105,729.50x = 161,943 × 161,943
4. Step 4: Simplify right side
   105,729.50x = 26,225,535,249
5. Step 5: Solve for x
   x = 26,225,535,249/105,729.50
6. Step 6: Final answer
   x = 248,043.69