Finding the Third Proportional to 83,592 and 178,686

Step by Step Solution

1. Step 1: Write the proportion equation
   83,592 : 178,686 = 178,686 : x
2. Step 2: Convert to fraction form
   83,592/178,686 = 178,686/x
3. Step 3: Cross multiply
   83,592x = 178,686 × 178,686
4. Step 4: Simplify right side
   83,592x = 31,928,686,596
5. Step 5: Solve for x
   x = 31,928,686,596/83,592
6. Step 6: Final answer
   x = 381,958.64