Finding the Third Proportional to 89,994 and 194,244

Step by Step Solution

1. Step 1: Write the proportion equation
   89,994 : 194,244 = 194,244 : x
2. Step 2: Convert to fraction form
   89,994/194,244 = 194,244/x
3. Step 3: Cross multiply
   89,994x = 194,244 × 194,244
4. Step 4: Simplify right side
   89,994x = 37,730,731,536
5. Step 5: Solve for x
   x = 37,730,731,536/89,994
6. Step 6: Final answer
   x = 419,258.30