Finding the Third Proportional to 89,764 and 194,386

Step by Step Solution

1. Step 1: Write the proportion equation
   89,764 : 194,386 = 194,386 : x
2. Step 2: Convert to fraction form
   89,764/194,386 = 194,386/x
3. Step 3: Cross multiply
   89,764x = 194,386 × 194,386
4. Step 4: Simplify right side
   89,764x = 37,785,916,996
5. Step 5: Solve for x
   x = 37,785,916,996/89,764
6. Step 6: Final answer
   x = 420,947.34