Finding the Third Proportional to 89,994 and 193,839

Step by Step Solution

1. Step 1: Write the proportion equation
   89,994 : 193,839 = 193,839 : x
2. Step 2: Convert to fraction form
   89,994/193,839 = 193,839/x
3. Step 3: Cross multiply
   89,994x = 193,839 × 193,839
4. Step 4: Simplify right side
   89,994x = 37,573,557,921
5. Step 5: Solve for x
   x = 37,573,557,921/89,994
6. Step 6: Final answer
   x = 417,511.81