Finding the Third Proportional to 127,592 and 277,300

Step by Step Solution

1. Step 1: Write the proportion equation
   127,592 : 277,300 = 277,300 : x
2. Step 2: Convert to fraction form
   127,592/277,300 = 277,300/x
3. Step 3: Cross multiply
   127,592x = 277,300 × 277,300
4. Step 4: Simplify right side
   127,592x = 76,895,290,000
5. Step 5: Solve for x
   x = 76,895,290,000/127,592
6. Step 6: Final answer
   x = 602,665.45