Finding the Third Proportional to 89,532 and 194,880

Step by Step Solution

1. Step 1: Write the proportion equation
   89,532 : 194,880 = 194,880 : x
2. Step 2: Convert to fraction form
   89,532/194,880 = 194,880/x
3. Step 3: Cross multiply
   89,532x = 194,880 × 194,880
4. Step 4: Simplify right side
   89,532x = 37,978,214,400
5. Step 5: Solve for x
   x = 37,978,214,400/89,532
6. Step 6: Final answer
   x = 424,185.93