Finding the Third Proportional to 105,733 and 158,565

Step by Step Solution

1. Step 1: Write the proportion equation
   105,733 : 158,565 = 158,565 : x
2. Step 2: Convert to fraction form
   105,733/158,565 = 158,565/x
3. Step 3: Cross multiply
   105,733x = 158,565 × 158,565
4. Step 4: Simplify right side
   105,733x = 25,142,859,225
5. Step 5: Solve for x
   x = 25,142,859,225/105,733
6. Step 6: Final answer
   x = 237,795.76