Finding the Third Proportional to 86,783 and 175,978

Step by Step Solution

1. Step 1: Write the proportion equation
   86,783 : 175,978 = 175,978 : x
2. Step 2: Convert to fraction form
   86,783/175,978 = 175,978/x
3. Step 3: Cross multiply
   86,783x = 175,978 × 175,978
4. Step 4: Simplify right side
   86,783x = 30,968,256,484
5. Step 5: Solve for x
   x = 30,968,256,484/86,783
6. Step 6: Final answer
   x = 356,847.04