Finding the Third Proportional to 89,246 and 194,042

Step by Step Solution

1. Step 1: Write the proportion equation
   89,246 : 194,042 = 194,042 : x
2. Step 2: Convert to fraction form
   89,246/194,042 = 194,042/x
3. Step 3: Cross multiply
   89,246x = 194,042 × 194,042
4. Step 4: Simplify right side
   89,246x = 37,652,297,764
5. Step 5: Solve for x
   x = 37,652,297,764/89,246
6. Step 6: Final answer
   x = 421,893.39