Finding the Third Proportional to 83,093 and 181,414

Step by Step Solution

1. Step 1: Write the proportion equation
   83,093 : 181,414 = 181,414 : x
2. Step 2: Convert to fraction form
   83,093/181,414 = 181,414/x
3. Step 3: Cross multiply
   83,093x = 181,414 × 181,414
4. Step 4: Simplify right side
   83,093x = 32,911,039,396
5. Step 5: Solve for x
   x = 32,911,039,396/83,093
6. Step 6: Final answer
   x = 396,074.75