Finding the Third Proportional to 53,055 and 116,307

Step by Step Solution

1. Step 1: Write the proportion equation
   53,055 : 116,307 = 116,307 : x
2. Step 2: Convert to fraction form
   53,055/116,307 = 116,307/x
3. Step 3: Cross multiply
   53,055x = 116,307 × 116,307
4. Step 4: Simplify right side
   53,055x = 13,527,318,249
5. Step 5: Solve for x
   x = 13,527,318,249/53,055
6. Step 6: Final answer
   x = 254,967.83