Finding the Third Proportional to 357,872 and 757,144

Step by Step Solution

1. Step 1: Write the proportion equation
   357,872 : 757,144 = 757,144 : x
2. Step 2: Convert to fraction form
   357,872/757,144 = 757,144/x
3. Step 3: Cross multiply
   357,872x = 757,144 × 757,144
4. Step 4: Simplify right side
   357,872x = 573,267,036,736
5. Step 5: Solve for x
   x = 573,267,036,736/357,872
6. Step 6: Final answer
   x = 1,601,877.31