Finding the Third Proportional to 115,857 and 253,002

Step by Step Solution

1. Step 1: Write the proportion equation
   115,857 : 253,002 = 253,002 : x
2. Step 2: Convert to fraction form
   115,857/253,002 = 253,002/x
3. Step 3: Cross multiply
   115,857x = 253,002 × 253,002
4. Step 4: Simplify right side
   115,857x = 64,010,012,004
5. Step 5: Solve for x
   x = 64,010,012,004/115,857
6. Step 6: Final answer
   x = 552,491.54