Finding the Third Proportional to 127,430 and 277,012

Step by Step Solution

1. Step 1: Write the proportion equation
   127,430 : 277,012 = 277,012 : x
2. Step 2: Convert to fraction form
   127,430/277,012 = 277,012/x
3. Step 3: Cross multiply
   127,430x = 277,012 × 277,012
4. Step 4: Simplify right side
   127,430x = 76,735,648,144
5. Step 5: Solve for x
   x = 76,735,648,144/127,430
6. Step 6: Final answer
   x = 602,178.83