Finding the Third Proportional to 90,388 and 194,749

Step by Step Solution

1. Step 1: Write the proportion equation
   90,388 : 194,749 = 194,749 : x
2. Step 2: Convert to fraction form
   90,388/194,749 = 194,749/x
3. Step 3: Cross multiply
   90,388x = 194,749 × 194,749
4. Step 4: Simplify right side
   90,388x = 37,927,173,001
5. Step 5: Solve for x
   x = 37,927,173,001/90,388
6. Step 6: Final answer
   x = 419,604.07