Finding the Third Proportional to 83,902 and 182,540

Step by Step Solution

1. Step 1: Write the proportion equation
   83,902 : 182,540 = 182,540 : x
2. Step 2: Convert to fraction form
   83,902/182,540 = 182,540/x
3. Step 3: Cross multiply
   83,902x = 182,540 × 182,540
4. Step 4: Simplify right side
   83,902x = 33,320,851,600
5. Step 5: Solve for x
   x = 33,320,851,600/83,902
6. Step 6: Final answer
   x = 397,140.13