Finding the Third Proportional to 101,205 and 151,257.38

Step by Step Solution

1. Step 1: Write the proportion equation
   101,205 : 151,257.38 = 151,257.38 : x
2. Step 2: Convert to fraction form
   101,205/151,257.38 = 151,257.38/x
3. Step 3: Cross multiply
   101,205x = 151,257.38 × 151,257.38
4. Step 4: Simplify right side
   101,205x = 22,878,793,491.89
5. Step 5: Solve for x
   x = 22,878,793,491.89/101,205
6. Step 6: Final answer
   x = 226,063.87