Finding the Third Proportional to 83,055 and 194,986

Step by Step Solution

1. Step 1: Write the proportion equation
   83,055 : 194,986 = 194,986 : x
2. Step 2: Convert to fraction form
   83,055/194,986 = 194,986/x
3. Step 3: Cross multiply
   83,055x = 194,986 × 194,986
4. Step 4: Simplify right side
   83,055x = 38,019,540,196
5. Step 5: Solve for x
   x = 38,019,540,196/83,055
6. Step 6: Final answer
   x = 457,763.41