Finding the Third Proportional to 159,002 and 215,175

Step by Step Solution

1. Step 1: Write the proportion equation
   159,002 : 215,175 = 215,175 : x
2. Step 2: Convert to fraction form
   159,002/215,175 = 215,175/x
3. Step 3: Cross multiply
   159,002x = 215,175 × 215,175
4. Step 4: Simplify right side
   159,002x = 46,300,280,625
5. Step 5: Solve for x
   x = 46,300,280,625/159,002
6. Step 6: Final answer
   x = 291,193.07