Finding the Third Proportional to 89,245 and 194,041

Step by Step Solution

1. Step 1: Write the proportion equation
   89,245 : 194,041 = 194,041 : x
2. Step 2: Convert to fraction form
   89,245/194,041 = 194,041/x
3. Step 3: Cross multiply
   89,245x = 194,041 × 194,041
4. Step 4: Simplify right side
   89,245x = 37,651,909,681
5. Step 5: Solve for x
   x = 37,651,909,681/89,245
6. Step 6: Final answer
   x = 421,893.77