Finding the Third Proportional to 350,074 and 525,002

Step by Step Solution

1. Step 1: Write the proportion equation
   350,074 : 525,002 = 525,002 : x
2. Step 2: Convert to fraction form
   350,074/525,002 = 525,002/x
3. Step 3: Cross multiply
   350,074x = 525,002 × 525,002
4. Step 4: Simplify right side
   350,074x = 275,627,100,004
5. Step 5: Solve for x
   x = 275,627,100,004/350,074
6. Step 6: Final answer
   x = 787,339.53