Finding the Third Proportional to 101,205 and 151,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,205 : 151,258.50 = 151,258.50 : x
2. Step 2: Convert to fraction form
   101,205/151,258.50 = 151,258.50/x
3. Step 3: Cross multiply
   101,205x = 151,258.50 × 151,258.50
4. Step 4: Simplify right side
   101,205x = 22,879,133,822.25
5. Step 5: Solve for x
   x = 22,879,133,822.25/101,205
6. Step 6: Final answer
   x = 226,067.23