Finding the Third Proportional to 101,367.50 and 146,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,367.50 : 146,016.50 = 146,016.50 : x
2. Step 2: Convert to fraction form
   101,367.50/146,016.50 = 146,016.50/x
3. Step 3: Cross multiply
   101,367.50x = 146,016.50 × 146,016.50
4. Step 4: Simplify right side
   101,367.50x = 21,320,818,272.25
5. Step 5: Solve for x
   x = 21,320,818,272.25/101,367.50
6. Step 6: Final answer
   x = 210,331.89