Finding the Third Proportional to 107,536 and 150,406

Step by Step Solution

1. Step 1: Write the proportion equation
   107,536 : 150,406 = 150,406 : x
2. Step 2: Convert to fraction form
   107,536/150,406 = 150,406/x
3. Step 3: Cross multiply
   107,536x = 150,406 × 150,406
4. Step 4: Simplify right side
   107,536x = 22,621,964,836
5. Step 5: Solve for x
   x = 22,621,964,836/107,536
6. Step 6: Final answer
   x = 210,366.43