Finding the Third Proportional to 123,170 and 263,188

Step by Step Solution

1. Step 1: Write the proportion equation
   123,170 : 263,188 = 263,188 : x
2. Step 2: Convert to fraction form
   123,170/263,188 = 263,188/x
3. Step 3: Cross multiply
   123,170x = 263,188 × 263,188
4. Step 4: Simplify right side
   123,170x = 69,267,923,344
5. Step 5: Solve for x
   x = 69,267,923,344/123,170
6. Step 6: Final answer
   x = 562,376.58