Finding the Third Proportional to 174,928 and 275,006

Step by Step Solution

1. Step 1: Write the proportion equation
   174,928 : 275,006 = 275,006 : x
2. Step 2: Convert to fraction form
   174,928/275,006 = 275,006/x
3. Step 3: Cross multiply
   174,928x = 275,006 × 275,006
4. Step 4: Simplify right side
   174,928x = 75,628,300,036
5. Step 5: Solve for x
   x = 75,628,300,036/174,928
6. Step 6: Final answer
   x = 432,339.59