Finding the Third Proportional to 101,856 and 133,951.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,856 : 133,951.50 = 133,951.50 : x
2. Step 2: Convert to fraction form
   101,856/133,951.50 = 133,951.50/x
3. Step 3: Cross multiply
   101,856x = 133,951.50 × 133,951.50
4. Step 4: Simplify right side
   101,856x = 17,943,004,352.25
5. Step 5: Solve for x
   x = 17,943,004,352.25/101,856
6. Step 6: Final answer
   x = 176,160.50