Finding the Third Proportional to 123,274 and 266,192

Step by Step Solution

1. Step 1: Write the proportion equation
   123,274 : 266,192 = 266,192 : x
2. Step 2: Convert to fraction form
   123,274/266,192 = 266,192/x
3. Step 3: Cross multiply
   123,274x = 266,192 × 266,192
4. Step 4: Simplify right side
   123,274x = 70,858,180,864
5. Step 5: Solve for x
   x = 70,858,180,864/123,274
6. Step 6: Final answer
   x = 574,802.32