Finding the Third Proportional to 127,027 and 186,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,027 : 186,739.50 = 186,739.50 : x
2. Step 2: Convert to fraction form
   127,027/186,739.50 = 186,739.50/x
3. Step 3: Cross multiply
   127,027x = 186,739.50 × 186,739.50
4. Step 4: Simplify right side
   127,027x = 34,871,640,860.25
5. Step 5: Solve for x
   x = 34,871,640,860.25/127,027
6. Step 6: Final answer
   x = 274,521.49