Finding the Third Proportional to 159,144 and 215,372

Step by Step Solution

1. Step 1: Write the proportion equation
   159,144 : 215,372 = 215,372 : x
2. Step 2: Convert to fraction form
   159,144/215,372 = 215,372/x
3. Step 3: Cross multiply
   159,144x = 215,372 × 215,372
4. Step 4: Simplify right side
   159,144x = 46,385,098,384
5. Step 5: Solve for x
   x = 46,385,098,384/159,144
6. Step 6: Final answer
   x = 291,466.21