Finding the Third Proportional to 127,748 and 277,600

Step by Step Solution

1. Step 1: Write the proportion equation
   127,748 : 277,600 = 277,600 : x
2. Step 2: Convert to fraction form
   127,748/277,600 = 277,600/x
3. Step 3: Cross multiply
   127,748x = 277,600 × 277,600
4. Step 4: Simplify right side
   127,748x = 77,061,760,000
5. Step 5: Solve for x
   x = 77,061,760,000/127,748
6. Step 6: Final answer
   x = 603,232.61