Finding the Third Proportional to 53,303 and 116,002

Step by Step Solution

1. Step 1: Write the proportion equation
   53,303 : 116,002 = 116,002 : x
2. Step 2: Convert to fraction form
   53,303/116,002 = 116,002/x
3. Step 3: Cross multiply
   53,303x = 116,002 × 116,002
4. Step 4: Simplify right side
   53,303x = 13,456,464,004
5. Step 5: Solve for x
   x = 13,456,464,004/53,303
6. Step 6: Final answer
   x = 252,452.28