Finding the Third Proportional to 70,387 and 146,578

Step by Step Solution

1. Step 1: Write the proportion equation
   70,387 : 146,578 = 146,578 : x
2. Step 2: Convert to fraction form
   70,387/146,578 = 146,578/x
3. Step 3: Cross multiply
   70,387x = 146,578 × 146,578
4. Step 4: Simplify right side
   70,387x = 21,485,110,084
5. Step 5: Solve for x
   x = 21,485,110,084/70,387
6. Step 6: Final answer
   x = 305,242.59