Finding the Third Proportional to 105,732 and 161,946.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 161,946.75 = 161,946.75 : x
2. Step 2: Convert to fraction form
   105,732/161,946.75 = 161,946.75/x
3. Step 3: Cross multiply
   105,732x = 161,946.75 × 161,946.75
4. Step 4: Simplify right side
   105,732x = 26,226,749,835.56
5. Step 5: Solve for x
   x = 26,226,749,835.56/105,732
6. Step 6: Final answer
   x = 248,049.31