Finding the Third Proportional to 123,164 and 263,176

Step by Step Solution

1. Step 1: Write the proportion equation
   123,164 : 263,176 = 263,176 : x
2. Step 2: Convert to fraction form
   123,164/263,176 = 263,176/x
3. Step 3: Cross multiply
   123,164x = 263,176 × 263,176
4. Step 4: Simplify right side
   123,164x = 69,261,606,976
5. Step 5: Solve for x
   x = 69,261,606,976/123,164
6. Step 6: Final answer
   x = 562,352.69