Finding the Third Proportional to 52,857 and 115,002

Step by Step Solution

1. Step 1: Write the proportion equation
   52,857 : 115,002 = 115,002 : x
2. Step 2: Convert to fraction form
   52,857/115,002 = 115,002/x
3. Step 3: Cross multiply
   52,857x = 115,002 × 115,002
4. Step 4: Simplify right side
   52,857x = 13,225,460,004
5. Step 5: Solve for x
   x = 13,225,460,004/52,857
6. Step 6: Final answer
   x = 250,212.08