Finding the Third Proportional to 101,216 and 151,006

Step by Step Solution

1. Step 1: Write the proportion equation
   101,216 : 151,006 = 151,006 : x
2. Step 2: Convert to fraction form
   101,216/151,006 = 151,006/x
3. Step 3: Cross multiply
   101,216x = 151,006 × 151,006
4. Step 4: Simplify right side
   101,216x = 22,802,812,036
5. Step 5: Solve for x
   x = 22,802,812,036/101,216
6. Step 6: Final answer
   x = 225,288.61