Finding the Third Proportional to 123,488 and 266,176

Step by Step Solution

1. Step 1: Write the proportion equation
   123,488 : 266,176 = 266,176 : x
2. Step 2: Convert to fraction form
   123,488/266,176 = 266,176/x
3. Step 3: Cross multiply
   123,488x = 266,176 × 266,176
4. Step 4: Simplify right side
   123,488x = 70,849,662,976
5. Step 5: Solve for x
   x = 70,849,662,976/123,488
6. Step 6: Final answer
   x = 573,737.23