Finding the Third Proportional to 85,699 and 175,574

Step by Step Solution

1. Step 1: Write the proportion equation
   85,699 : 175,574 = 175,574 : x
2. Step 2: Convert to fraction form
   85,699/175,574 = 175,574/x
3. Step 3: Cross multiply
   85,699x = 175,574 × 175,574
4. Step 4: Simplify right side
   85,699x = 30,826,229,476
5. Step 5: Solve for x
   x = 30,826,229,476/85,699
6. Step 6: Final answer
   x = 359,703.49