Finding the Third Proportional to 83,862 and 181,926

Step by Step Solution

1. Step 1: Write the proportion equation
   83,862 : 181,926 = 181,926 : x
2. Step 2: Convert to fraction form
   83,862/181,926 = 181,926/x
3. Step 3: Cross multiply
   83,862x = 181,926 × 181,926
4. Step 4: Simplify right side
   83,862x = 33,097,069,476
5. Step 5: Solve for x
   x = 33,097,069,476/83,862
6. Step 6: Final answer
   x = 394,661.10