Finding the Third Proportional to 90,243 and 194,787

Step by Step Solution

1. Step 1: Write the proportion equation
   90,243 : 194,787 = 194,787 : x
2. Step 2: Convert to fraction form
   90,243/194,787 = 194,787/x
3. Step 3: Cross multiply
   90,243x = 194,787 × 194,787
4. Step 4: Simplify right side
   90,243x = 37,941,975,369
5. Step 5: Solve for x
   x = 37,941,975,369/90,243
6. Step 6: Final answer
   x = 420,442.31