Finding the Third Proportional to 127,410 and 274,644

Step by Step Solution

1. Step 1: Write the proportion equation
   127,410 : 274,644 = 274,644 : x
2. Step 2: Convert to fraction form
   127,410/274,644 = 274,644/x
3. Step 3: Cross multiply
   127,410x = 274,644 × 274,644
4. Step 4: Simplify right side
   127,410x = 75,429,326,736
5. Step 5: Solve for x
   x = 75,429,326,736/127,410
6. Step 6: Final answer
   x = 592,020.46