Finding the Third Proportional to 89,139 and 194,271

Step by Step Solution

1. Step 1: Write the proportion equation
   89,139 : 194,271 = 194,271 : x
2. Step 2: Convert to fraction form
   89,139/194,271 = 194,271/x
3. Step 3: Cross multiply
   89,139x = 194,271 × 194,271
4. Step 4: Simplify right side
   89,139x = 37,741,221,441
5. Step 5: Solve for x
   x = 37,741,221,441/89,139
6. Step 6: Final answer
   x = 423,397.41