Finding the Third Proportional to 89,160 and 194,314

Step by Step Solution

1. Step 1: Write the proportion equation
   89,160 : 194,314 = 194,314 : x
2. Step 2: Convert to fraction form
   89,160/194,314 = 194,314/x
3. Step 3: Cross multiply
   89,160x = 194,314 × 194,314
4. Step 4: Simplify right side
   89,160x = 37,757,930,596
5. Step 5: Solve for x
   x = 37,757,930,596/89,160
6. Step 6: Final answer
   x = 423,485.09