Finding the Third Proportional to 127,627 and 272,022

Step by Step Solution

1. Step 1: Write the proportion equation
   127,627 : 272,022 = 272,022 : x
2. Step 2: Convert to fraction form
   127,627/272,022 = 272,022/x
3. Step 3: Cross multiply
   127,627x = 272,022 × 272,022
4. Step 4: Simplify right side
   127,627x = 73,995,968,484
5. Step 5: Solve for x
   x = 73,995,968,484/127,627
6. Step 6: Final answer
   x = 579,783.03