Finding the Third Proportional to 174,915 and 274,986

Step by Step Solution

1. Step 1: Write the proportion equation
   174,915 : 274,986 = 274,986 : x
2. Step 2: Convert to fraction form
   174,915/274,986 = 274,986/x
3. Step 3: Cross multiply
   174,915x = 274,986 × 274,986
4. Step 4: Simplify right side
   174,915x = 75,617,300,196
5. Step 5: Solve for x
   x = 75,617,300,196/174,915
6. Step 6: Final answer
   x = 432,308.84