Finding the Third Proportional to 175,665 and 263,016

Step by Step Solution

1. Step 1: Write the proportion equation
   175,665 : 263,016 = 263,016 : x
2. Step 2: Convert to fraction form
   175,665/263,016 = 263,016/x
3. Step 3: Cross multiply
   175,665x = 263,016 × 263,016
4. Step 4: Simplify right side
   175,665x = 69,177,416,256
5. Step 5: Solve for x
   x = 69,177,416,256/175,665
6. Step 6: Final answer
   x = 393,803.07