Finding the Third Proportional to 101,016 and 149,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 149,568.75 = 149,568.75 : x
2. Step 2: Convert to fraction form
   101,016/149,568.75 = 149,568.75/x
3. Step 3: Cross multiply
   101,016x = 149,568.75 × 149,568.75
4. Step 4: Simplify right side
   101,016x = 22,370,810,976.56
5. Step 5: Solve for x
   x = 22,370,810,976.56/101,016
6. Step 6: Final answer
   x = 221,458.10