Finding the Third Proportional to 85,703 and 175,582

Step by Step Solution

1. Step 1: Write the proportion equation
   85,703 : 175,582 = 175,582 : x
2. Step 2: Convert to fraction form
   85,703/175,582 = 175,582/x
3. Step 3: Cross multiply
   85,703x = 175,582 × 175,582
4. Step 4: Simplify right side
   85,703x = 30,829,038,724
5. Step 5: Solve for x
   x = 30,829,038,724/85,703
6. Step 6: Final answer
   x = 359,719.48