Finding the Third Proportional to 127,584 and 277,308

Step by Step Solution

1. Step 1: Write the proportion equation
   127,584 : 277,308 = 277,308 : x
2. Step 2: Convert to fraction form
   127,584/277,308 = 277,308/x
3. Step 3: Cross multiply
   127,584x = 277,308 × 277,308
4. Step 4: Simplify right side
   127,584x = 76,899,726,864
5. Step 5: Solve for x
   x = 76,899,726,864/127,584
6. Step 6: Final answer
   x = 602,738.01