Finding the Third Proportional to 89,915 and 194,410

Step by Step Solution

1. Step 1: Write the proportion equation
   89,915 : 194,410 = 194,410 : x
2. Step 2: Convert to fraction form
   89,915/194,410 = 194,410/x
3. Step 3: Cross multiply
   89,915x = 194,410 × 194,410
4. Step 4: Simplify right side
   89,915x = 37,795,248,100
5. Step 5: Solve for x
   x = 37,795,248,100/89,915
6. Step 6: Final answer
   x = 420,344.19