Finding the Third Proportional to 123,884 and 267,640

Step by Step Solution

1. Step 1: Write the proportion equation
   123,884 : 267,640 = 267,640 : x
2. Step 2: Convert to fraction form
   123,884/267,640 = 267,640/x
3. Step 3: Cross multiply
   123,884x = 267,640 × 267,640
4. Step 4: Simplify right side
   123,884x = 71,631,169,600
5. Step 5: Solve for x
   x = 71,631,169,600/123,884
6. Step 6: Final answer
   x = 578,211.63