Finding the Third Proportional to 127,577 and 274,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,577 : 274,654.50 = 274,654.50 : x
2. Step 2: Convert to fraction form
   127,577/274,654.50 = 274,654.50/x
3. Step 3: Cross multiply
   127,577x = 274,654.50 × 274,654.50
4. Step 4: Simplify right side
   127,577x = 75,435,094,370.25
5. Step 5: Solve for x
   x = 75,435,094,370.25/127,577
6. Step 6: Final answer
   x = 591,290.71