Finding the Third Proportional to 127,822 and 272,036

Step by Step Solution

1. Step 1: Write the proportion equation
   127,822 : 272,036 = 272,036 : x
2. Step 2: Convert to fraction form
   127,822/272,036 = 272,036/x
3. Step 3: Cross multiply
   127,822x = 272,036 × 272,036
4. Step 4: Simplify right side
   127,822x = 74,003,585,296
5. Step 5: Solve for x
   x = 74,003,585,296/127,822
6. Step 6: Final answer
   x = 578,958.12