Finding the Third Proportional to 124,644 and 186,928

Step by Step Solution

1. Step 1: Write the proportion equation
   124,644 : 186,928 = 186,928 : x
2. Step 2: Convert to fraction form
   124,644/186,928 = 186,928/x
3. Step 3: Cross multiply
   124,644x = 186,928 × 186,928
4. Step 4: Simplify right side
   124,644x = 34,942,077,184
5. Step 5: Solve for x
   x = 34,942,077,184/124,644
6. Step 6: Final answer
   x = 280,335.01