Finding the Third Proportional to 159,006 and 215,180

Step by Step Solution

1. Step 1: Write the proportion equation
   159,006 : 215,180 = 215,180 : x
2. Step 2: Convert to fraction form
   159,006/215,180 = 215,180/x
3. Step 3: Cross multiply
   159,006x = 215,180 × 215,180
4. Step 4: Simplify right side
   159,006x = 46,302,432,400
5. Step 5: Solve for x
   x = 46,302,432,400/159,006
6. Step 6: Final answer
   x = 291,199.28