Finding the Third Proportional to 252,744 and 380,142

Step by Step Solution

1. Step 1: Write the proportion equation
   252,744 : 380,142 = 380,142 : x
2. Step 2: Convert to fraction form
   252,744/380,142 = 380,142/x
3. Step 3: Cross multiply
   252,744x = 380,142 × 380,142
4. Step 4: Simplify right side
   252,744x = 144,507,940,164
5. Step 5: Solve for x
   x = 144,507,940,164/252,744
6. Step 6: Final answer
   x = 571,756.16