Finding the Third Proportional to 89,937 and 194,778

Step by Step Solution

1. Step 1: Write the proportion equation
   89,937 : 194,778 = 194,778 : x
2. Step 2: Convert to fraction form
   89,937/194,778 = 194,778/x
3. Step 3: Cross multiply
   89,937x = 194,778 × 194,778
4. Step 4: Simplify right side
   89,937x = 37,938,469,284
5. Step 5: Solve for x
   x = 37,938,469,284/89,937
6. Step 6: Final answer
   x = 421,833.83