Finding the Third Proportional to 127,086 and 271,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,086 : 271,621.50 = 271,621.50 : x
2. Step 2: Convert to fraction form
   127,086/271,621.50 = 271,621.50/x
3. Step 3: Cross multiply
   127,086x = 271,621.50 × 271,621.50
4. Step 4: Simplify right side
   127,086x = 73,778,239,262.25
5. Step 5: Solve for x
   x = 73,778,239,262.25/127,086
6. Step 6: Final answer
   x = 580,537.90