Finding the Third Proportional to 53,261 and 116,055

Step by Step Solution

1. Step 1: Write the proportion equation
   53,261 : 116,055 = 116,055 : x
2. Step 2: Convert to fraction form
   53,261/116,055 = 116,055/x
3. Step 3: Cross multiply
   53,261x = 116,055 × 116,055
4. Step 4: Simplify right side
   53,261x = 13,468,763,025
5. Step 5: Solve for x
   x = 13,468,763,025/53,261
6. Step 6: Final answer
   x = 252,882.28