Finding the Third Proportional to 85,704 and 175,584

Step by Step Solution

1. Step 1: Write the proportion equation
   85,704 : 175,584 = 175,584 : x
2. Step 2: Convert to fraction form
   85,704/175,584 = 175,584/x
3. Step 3: Cross multiply
   85,704x = 175,584 × 175,584
4. Step 4: Simplify right side
   85,704x = 30,829,741,056
5. Step 5: Solve for x
   x = 30,829,741,056/85,704
6. Step 6: Final answer
   x = 359,723.48