Finding the Third Proportional to 89,666 and 189,316

Step by Step Solution

1. Step 1: Write the proportion equation
   89,666 : 189,316 = 189,316 : x
2. Step 2: Convert to fraction form
   89,666/189,316 = 189,316/x
3. Step 3: Cross multiply
   89,666x = 189,316 × 189,316
4. Step 4: Simplify right side
   89,666x = 35,840,547,856
5. Step 5: Solve for x
   x = 35,840,547,856/89,666
6. Step 6: Final answer
   x = 399,711.68