Finding the Third Proportional to 174,932 and 275,012

Step by Step Solution

1. Step 1: Write the proportion equation
   174,932 : 275,012 = 275,012 : x
2. Step 2: Convert to fraction form
   174,932/275,012 = 275,012/x
3. Step 3: Cross multiply
   174,932x = 275,012 × 275,012
4. Step 4: Simplify right side
   174,932x = 75,631,600,144
5. Step 5: Solve for x
   x = 75,631,600,144/174,932
6. Step 6: Final answer
   x = 432,348.57