Finding the Third Proportional to 150,584 and 200,753

Step by Step Solution

1. Step 1: Write the proportion equation
   150,584 : 200,753 = 200,753 : x
2. Step 2: Convert to fraction form
   150,584/200,753 = 200,753/x
3. Step 3: Cross multiply
   150,584x = 200,753 × 200,753
4. Step 4: Simplify right side
   150,584x = 40,301,767,009
5. Step 5: Solve for x
   x = 40,301,767,009/150,584
6. Step 6: Final answer
   x = 267,636.45