Finding the Third Proportional to 89,924 and 194,426

Step by Step Solution

1. Step 1: Write the proportion equation
   89,924 : 194,426 = 194,426 : x
2. Step 2: Convert to fraction form
   89,924/194,426 = 194,426/x
3. Step 3: Cross multiply
   89,924x = 194,426 × 194,426
4. Step 4: Simplify right side
   89,924x = 37,801,469,476
5. Step 5: Solve for x
   x = 37,801,469,476/89,924
6. Step 6: Final answer
   x = 420,371.31