Finding the Third Proportional to 127,824.75 and 275,271

Step by Step Solution

1. Step 1: Write the proportion equation
   127,824.75 : 275,271 = 275,271 : x
2. Step 2: Convert to fraction form
   127,824.75/275,271 = 275,271/x
3. Step 3: Cross multiply
   127,824.75x = 275,271 × 275,271
4. Step 4: Simplify right side
   127,824.75x = 75,774,123,441
5. Step 5: Solve for x
   x = 75,774,123,441/127,824.75
6. Step 6: Final answer
   x = 592,796.96