Finding the Third Proportional to 89,733 and 194,328

Step by Step Solution

1. Step 1: Write the proportion equation
   89,733 : 194,328 = 194,328 : x
2. Step 2: Convert to fraction form
   89,733/194,328 = 194,328/x
3. Step 3: Cross multiply
   89,733x = 194,328 × 194,328
4. Step 4: Simplify right side
   89,733x = 37,763,371,584
5. Step 5: Solve for x
   x = 37,763,371,584/89,733
6. Step 6: Final answer
   x = 420,841.51