Finding the Third Proportional to 89,158 and 194,309

Step by Step Solution

1. Step 1: Write the proportion equation
   89,158 : 194,309 = 194,309 : x
2. Step 2: Convert to fraction form
   89,158/194,309 = 194,309/x
3. Step 3: Cross multiply
   89,158x = 194,309 × 194,309
4. Step 4: Simplify right side
   89,158x = 37,755,987,481
5. Step 5: Solve for x
   x = 37,755,987,481/89,158
6. Step 6: Final answer
   x = 423,472.80