Finding the Third Proportional to 127,003 and 271,502

Step by Step Solution

1. Step 1: Write the proportion equation
   127,003 : 271,502 = 271,502 : x
2. Step 2: Convert to fraction form
   127,003/271,502 = 271,502/x
3. Step 3: Cross multiply
   127,003x = 271,502 × 271,502
4. Step 4: Simplify right side
   127,003x = 73,713,336,004
5. Step 5: Solve for x
   x = 73,713,336,004/127,003
6. Step 6: Final answer
   x = 580,406.26