Finding the Third Proportional to 89,727 and 194,316

Step by Step Solution

1. Step 1: Write the proportion equation
   89,727 : 194,316 = 194,316 : x
2. Step 2: Convert to fraction form
   89,727/194,316 = 194,316/x
3. Step 3: Cross multiply
   89,727x = 194,316 × 194,316
4. Step 4: Simplify right side
   89,727x = 37,758,707,856
5. Step 5: Solve for x
   x = 37,758,707,856/89,727
6. Step 6: Final answer
   x = 420,817.68