Finding the Third Proportional to 89,754 and 194,366

Step by Step Solution

1. Step 1: Write the proportion equation
   89,754 : 194,366 = 194,366 : x
2. Step 2: Convert to fraction form
   89,754/194,366 = 194,366/x
3. Step 3: Cross multiply
   89,754x = 194,366 × 194,366
4. Step 4: Simplify right side
   89,754x = 37,778,141,956
5. Step 5: Solve for x
   x = 37,778,141,956/89,754
6. Step 6: Final answer
   x = 420,907.61