Finding the Third Proportional to 105,732 and 161,947

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 161,947 = 161,947 : x
2. Step 2: Convert to fraction form
   105,732/161,947 = 161,947/x
3. Step 3: Cross multiply
   105,732x = 161,947 × 161,947
4. Step 4: Simplify right side
   105,732x = 26,226,830,809
5. Step 5: Solve for x
   x = 26,226,830,809/105,732
6. Step 6: Final answer
   x = 248,050.08