Finding the Third Proportional to 127,577.25 and 274,654.69

Step by Step Solution

1. Step 1: Write the proportion equation
   127,577.25 : 274,654.69 = 274,654.69 : x
2. Step 2: Convert to fraction form
   127,577.25/274,654.69 = 274,654.69/x
3. Step 3: Cross multiply
   127,577.25x = 274,654.69 × 274,654.69
4. Step 4: Simplify right side
   127,577.25x = 75,435,197,365.72
5. Step 5: Solve for x
   x = 75,435,197,365.72/127,577.25
6. Step 6: Final answer
   x = 591,290.35