Finding the Third Proportional to 90,783 and 194,028.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,783 : 194,028.75 = 194,028.75 : x
2. Step 2: Convert to fraction form
   90,783/194,028.75 = 194,028.75/x
3. Step 3: Cross multiply
   90,783x = 194,028.75 × 194,028.75
4. Step 4: Simplify right side
   90,783x = 37,647,155,826.56
5. Step 5: Solve for x
   x = 37,647,155,826.56/90,783
6. Step 6: Final answer
   x = 414,693.89