Finding the Third Proportional to 127,624 and 272,016

Step by Step Solution

1. Step 1: Write the proportion equation
   127,624 : 272,016 = 272,016 : x
2. Step 2: Convert to fraction form
   127,624/272,016 = 272,016/x
3. Step 3: Cross multiply
   127,624x = 272,016 × 272,016
4. Step 4: Simplify right side
   127,624x = 73,992,704,256
5. Step 5: Solve for x
   x = 73,992,704,256/127,624
6. Step 6: Final answer
   x = 579,771.08