Finding the Third Proportional to 85,693 and 175,562

Step by Step Solution

1. Step 1: Write the proportion equation
   85,693 : 175,562 = 175,562 : x
2. Step 2: Convert to fraction form
   85,693/175,562 = 175,562/x
3. Step 3: Cross multiply
   85,693x = 175,562 × 175,562
4. Step 4: Simplify right side
   85,693x = 30,822,015,844
5. Step 5: Solve for x
   x = 30,822,015,844/85,693
6. Step 6: Final answer
   x = 359,679.51