Finding the Third Proportional to 127,768 and 277,928

Step by Step Solution

1. Step 1: Write the proportion equation
   127,768 : 277,928 = 277,928 : x
2. Step 2: Convert to fraction form
   127,768/277,928 = 277,928/x
3. Step 3: Cross multiply
   127,768x = 277,928 × 277,928
4. Step 4: Simplify right side
   127,768x = 77,243,973,184
5. Step 5: Solve for x
   x = 77,243,973,184/127,768
6. Step 6: Final answer
   x = 604,564.31