Finding the Third Proportional to 123,376 and 185,976

Step by Step Solution

1. Step 1: Write the proportion equation
   123,376 : 185,976 = 185,976 : x
2. Step 2: Convert to fraction form
   123,376/185,976 = 185,976/x
3. Step 3: Cross multiply
   123,376x = 185,976 × 185,976
4. Step 4: Simplify right side
   123,376x = 34,587,072,576
5. Step 5: Solve for x
   x = 34,587,072,576/123,376
6. Step 6: Final answer
   x = 280,338.74