Finding the Third Proportional to 53,172 and 116,003

Step by Step Solution

1. Step 1: Write the proportion equation
   53,172 : 116,003 = 116,003 : x
2. Step 2: Convert to fraction form
   53,172/116,003 = 116,003/x
3. Step 3: Cross multiply
   53,172x = 116,003 × 116,003
4. Step 4: Simplify right side
   53,172x = 13,456,696,009
5. Step 5: Solve for x
   x = 13,456,696,009/53,172
6. Step 6: Final answer
   x = 253,078.61