Finding the Third Proportional to 85,695 and 175,566

Step by Step Solution

1. Step 1: Write the proportion equation
   85,695 : 175,566 = 175,566 : x
2. Step 2: Convert to fraction form
   85,695/175,566 = 175,566/x
3. Step 3: Cross multiply
   85,695x = 175,566 × 175,566
4. Step 4: Simplify right side
   85,695x = 30,823,420,356
5. Step 5: Solve for x
   x = 30,823,420,356/85,695
6. Step 6: Final answer
   x = 359,687.50