Finding the Third Proportional to 356,958 and 525,548.25

Step by Step Solution

1. Step 1: Write the proportion equation
   356,958 : 525,548.25 = 525,548.25 : x
2. Step 2: Convert to fraction form
   356,958/525,548.25 = 525,548.25/x
3. Step 3: Cross multiply
   356,958x = 525,548.25 × 525,548.25
4. Step 4: Simplify right side
   356,958x = 276,200,963,078.06
5. Step 5: Solve for x
   x = 276,200,963,078.06/356,958
6. Step 6: Final answer
   x = 773,763.20