Finding the Third Proportional to 127.83 and 275.91

Step by Step Solution

1. Step 1: Write the proportion equation
   127.83 : 275.91 = 275.91 : x
2. Step 2: Convert to fraction form
   127.83/275.91 = 275.91/x
3. Step 3: Cross multiply
   127.83x = 275.91 × 275.91
4. Step 4: Simplify right side
   127.83x = 76,124.26
5. Step 5: Solve for x
   x = 76,124.26/127.83
6. Step 6: Final answer
   x = 595.52