Finding the Third Proportional to 100,966 and 155,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,966 : 155,659.50 = 155,659.50 : x
2. Step 2: Convert to fraction form
   100,966/155,659.50 = 155,659.50/x
3. Step 3: Cross multiply
   100,966x = 155,659.50 × 155,659.50
4. Step 4: Simplify right side
   100,966x = 24,229,879,940.25
5. Step 5: Solve for x
   x = 24,229,879,940.25/100,966
6. Step 6: Final answer
   x = 239,980.59