Finding the Third Proportional to 123,158 and 266,558

Step by Step Solution

1. Step 1: Write the proportion equation
   123,158 : 266,558 = 266,558 : x
2. Step 2: Convert to fraction form
   123,158/266,558 = 266,558/x
3. Step 3: Cross multiply
   123,158x = 266,558 × 266,558
4. Step 4: Simplify right side
   123,158x = 71,053,167,364
5. Step 5: Solve for x
   x = 71,053,167,364/123,158
6. Step 6: Final answer
   x = 576,926.93