Finding the Third Proportional to 72,947 and 171,747

Step by Step Solution

1. Step 1: Write the proportion equation
   72,947 : 171,747 = 171,747 : x
2. Step 2: Convert to fraction form
   72,947/171,747 = 171,747/x
3. Step 3: Cross multiply
   72,947x = 171,747 × 171,747
4. Step 4: Simplify right side
   72,947x = 29,497,032,009
5. Step 5: Solve for x
   x = 29,497,032,009/72,947
6. Step 6: Final answer
   x = 404,362.51