Finding the Third Proportional to 53,576 and 116,072

Step by Step Solution

1. Step 1: Write the proportion equation
   53,576 : 116,072 = 116,072 : x
2. Step 2: Convert to fraction form
   53,576/116,072 = 116,072/x
3. Step 3: Cross multiply
   53,576x = 116,072 × 116,072
4. Step 4: Simplify right side
   53,576x = 13,472,709,184
5. Step 5: Solve for x
   x = 13,472,709,184/53,576
6. Step 6: Final answer
   x = 251,469.11