Finding the Third Proportional to 69,024 and 150,684

Step by Step Solution

1. Step 1: Write the proportion equation
   69,024 : 150,684 = 150,684 : x
2. Step 2: Convert to fraction form
   69,024/150,684 = 150,684/x
3. Step 3: Cross multiply
   69,024x = 150,684 × 150,684
4. Step 4: Simplify right side
   69,024x = 22,705,667,856
5. Step 5: Solve for x
   x = 22,705,667,856/69,024
6. Step 6: Final answer
   x = 328,953.23