Finding the Third Proportional to 89,744 and 194,352

Step by Step Solution

1. Step 1: Write the proportion equation
   89,744 : 194,352 = 194,352 : x
2. Step 2: Convert to fraction form
   89,744/194,352 = 194,352/x
3. Step 3: Cross multiply
   89,744x = 194,352 × 194,352
4. Step 4: Simplify right side
   89,744x = 37,772,699,904
5. Step 5: Solve for x
   x = 37,772,699,904/89,744
6. Step 6: Final answer
   x = 420,893.87