Finding the Third Proportional to 101,644 and 150,990

Step by Step Solution

1. Step 1: Write the proportion equation
   101,644 : 150,990 = 150,990 : x
2. Step 2: Convert to fraction form
   101,644/150,990 = 150,990/x
3. Step 3: Cross multiply
   101,644x = 150,990 × 150,990
4. Step 4: Simplify right side
   101,644x = 22,797,980,100
5. Step 5: Solve for x
   x = 22,797,980,100/101,644
6. Step 6: Final answer
   x = 224,292.43