Finding the Third Proportional to 69,678 and 150,536

Step by Step Solution

1. Step 1: Write the proportion equation
   69,678 : 150,536 = 150,536 : x
2. Step 2: Convert to fraction form
   69,678/150,536 = 150,536/x
3. Step 3: Cross multiply
   69,678x = 150,536 × 150,536
4. Step 4: Simplify right side
   69,678x = 22,661,087,296
5. Step 5: Solve for x
   x = 22,661,087,296/69,678
6. Step 6: Final answer
   x = 325,225.86