Finding the Third Proportional to 105,784 and 158,692

Step by Step Solution

1. Step 1: Write the proportion equation
   105,784 : 158,692 = 158,692 : x
2. Step 2: Convert to fraction form
   105,784/158,692 = 158,692/x
3. Step 3: Cross multiply
   105,784x = 158,692 × 158,692
4. Step 4: Simplify right side
   105,784x = 25,183,150,864
5. Step 5: Solve for x
   x = 25,183,150,864/105,784
6. Step 6: Final answer
   x = 238,062.00