Finding the Third Proportional to 84,242 and 181,540

Step by Step Solution

1. Step 1: Write the proportion equation
   84,242 : 181,540 = 181,540 : x
2. Step 2: Convert to fraction form
   84,242/181,540 = 181,540/x
3. Step 3: Cross multiply
   84,242x = 181,540 × 181,540
4. Step 4: Simplify right side
   84,242x = 32,956,771,600
5. Step 5: Solve for x
   x = 32,956,771,600/84,242
6. Step 6: Final answer
   x = 391,215.45