Finding the Third Proportional to 106,353 and 159,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,353 : 159,853.50 = 159,853.50 : x
2. Step 2: Convert to fraction form
   106,353/159,853.50 = 159,853.50/x
3. Step 3: Cross multiply
   106,353x = 159,853.50 × 159,853.50
4. Step 4: Simplify right side
   106,353x = 25,553,141,462.25
5. Step 5: Solve for x
   x = 25,553,141,462.25/106,353
6. Step 6: Final answer
   x = 240,267.24