Finding the Third Proportional to 89,242 and 194,038

Step by Step Solution

1. Step 1: Write the proportion equation
   89,242 : 194,038 = 194,038 : x
2. Step 2: Convert to fraction form
   89,242/194,038 = 194,038/x
3. Step 3: Cross multiply
   89,242x = 194,038 × 194,038
4. Step 4: Simplify right side
   89,242x = 37,650,745,444
5. Step 5: Solve for x
   x = 37,650,745,444/89,242
6. Step 6: Final answer
   x = 421,894.91