Finding the Third Proportional to 89,723 and 194,308

Step by Step Solution

1. Step 1: Write the proportion equation
   89,723 : 194,308 = 194,308 : x
2. Step 2: Convert to fraction form
   89,723/194,308 = 194,308/x
3. Step 3: Cross multiply
   89,723x = 194,308 × 194,308
4. Step 4: Simplify right side
   89,723x = 37,755,598,864
5. Step 5: Solve for x
   x = 37,755,598,864/89,723
6. Step 6: Final answer
   x = 420,801.79