Finding the Third Proportional to 127,830 and 275,280

Step by Step Solution

1. Step 1: Write the proportion equation
   127,830 : 275,280 = 275,280 : x
2. Step 2: Convert to fraction form
   127,830/275,280 = 275,280/x
3. Step 3: Cross multiply
   127,830x = 275,280 × 275,280
4. Step 4: Simplify right side
   127,830x = 75,779,078,400
5. Step 5: Solve for x
   x = 75,779,078,400/127,830
6. Step 6: Final answer
   x = 592,811.38