Finding the Third Proportional to 127,133 and 271,150

Step by Step Solution

1. Step 1: Write the proportion equation
   127,133 : 271,150 = 271,150 : x
2. Step 2: Convert to fraction form
   127,133/271,150 = 271,150/x
3. Step 3: Cross multiply
   127,133x = 271,150 × 271,150
4. Step 4: Simplify right side
   127,133x = 73,522,322,500
5. Step 5: Solve for x
   x = 73,522,322,500/127,133
6. Step 6: Final answer
   x = 578,310.29