Finding the Third Proportional to 101,214 and 151,003

Step by Step Solution

1. Step 1: Write the proportion equation
   101,214 : 151,003 = 151,003 : x
2. Step 2: Convert to fraction form
   101,214/151,003 = 151,003/x
3. Step 3: Cross multiply
   101,214x = 151,003 × 151,003
4. Step 4: Simplify right side
   101,214x = 22,801,906,009
5. Step 5: Solve for x
   x = 22,801,906,009/101,214
6. Step 6: Final answer
   x = 225,284.11