Finding the Third Proportional to 85,698 and 185,697

Step by Step Solution

1. Step 1: Write the proportion equation
   85,698 : 185,697 = 185,697 : x
2. Step 2: Convert to fraction form
   85,698/185,697 = 185,697/x
3. Step 3: Cross multiply
   85,698x = 185,697 × 185,697
4. Step 4: Simplify right side
   85,698x = 34,483,375,809
5. Step 5: Solve for x
   x = 34,483,375,809/85,698
6. Step 6: Final answer
   x = 402,382.50