Finding the Third Proportional to 89,142 and 194,277

Step by Step Solution

1. Step 1: Write the proportion equation
   89,142 : 194,277 = 194,277 : x
2. Step 2: Convert to fraction form
   89,142/194,277 = 194,277/x
3. Step 3: Cross multiply
   89,142x = 194,277 × 194,277
4. Step 4: Simplify right side
   89,142x = 37,743,552,729
5. Step 5: Solve for x
   x = 37,743,552,729/89,142
6. Step 6: Final answer
   x = 423,409.31