Finding the Third Proportional to 356,877 and 525,456

Step by Step Solution

1. Step 1: Write the proportion equation
   356,877 : 525,456 = 525,456 : x
2. Step 2: Convert to fraction form
   356,877/525,456 = 525,456/x
3. Step 3: Cross multiply
   356,877x = 525,456 × 525,456
4. Step 4: Simplify right side
   356,877x = 276,104,007,936
5. Step 5: Solve for x
   x = 276,104,007,936/356,877
6. Step 6: Final answer
   x = 773,667.14