Finding the Third Proportional to 123,105 and 266,946

Step by Step Solution

1. Step 1: Write the proportion equation
   123,105 : 266,946 = 266,946 : x
2. Step 2: Convert to fraction form
   123,105/266,946 = 266,946/x
3. Step 3: Cross multiply
   123,105x = 266,946 × 266,946
4. Step 4: Simplify right side
   123,105x = 71,260,166,916
5. Step 5: Solve for x
   x = 71,260,166,916/123,105
6. Step 6: Final answer
   x = 578,856.80