Finding the Third Proportional to 123,072 and 266,880

Step by Step Solution

1. Step 1: Write the proportion equation
   123,072 : 266,880 = 266,880 : x
2. Step 2: Convert to fraction form
   123,072/266,880 = 266,880/x
3. Step 3: Cross multiply
   123,072x = 266,880 × 266,880
4. Step 4: Simplify right side
   123,072x = 71,224,934,400
5. Step 5: Solve for x
   x = 71,224,934,400/123,072
6. Step 6: Final answer
   x = 578,725.74