Finding the Third Proportional to 105,210 and 158,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 158,908.50 = 158,908.50 : x
2. Step 2: Convert to fraction form
   105,210/158,908.50 = 158,908.50/x
3. Step 3: Cross multiply
   105,210x = 158,908.50 × 158,908.50
4. Step 4: Simplify right side
   105,210x = 25,251,911,372.25
5. Step 5: Solve for x
   x = 25,251,911,372.25/105,210
6. Step 6: Final answer
   x = 240,014.37