Finding the Third Proportional to 85,815 and 185,926

Step by Step Solution

1. Step 1: Write the proportion equation
   85,815 : 185,926 = 185,926 : x
2. Step 2: Convert to fraction form
   85,815/185,926 = 185,926/x
3. Step 3: Cross multiply
   85,815x = 185,926 × 185,926
4. Step 4: Simplify right side
   85,815x = 34,568,477,476
5. Step 5: Solve for x
   x = 34,568,477,476/85,815
6. Step 6: Final answer
   x = 402,825.58