Finding the Third Proportional to 90,023.25 and 194,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,023.25 : 194,002.75 = 194,002.75 : x
2. Step 2: Convert to fraction form
   90,023.25/194,002.75 = 194,002.75/x
3. Step 3: Cross multiply
   90,023.25x = 194,002.75 × 194,002.75
4. Step 4: Simplify right side
   90,023.25x = 37,637,067,007.56
5. Step 5: Solve for x
   x = 37,637,067,007.56/90,023.25
6. Step 6: Final answer
   x = 418,081.63