Finding the Third Proportional to 96,462 and 200,316

Step by Step Solution

1. Step 1: Write the proportion equation
   96,462 : 200,316 = 200,316 : x
2. Step 2: Convert to fraction form
   96,462/200,316 = 200,316/x
3. Step 3: Cross multiply
   96,462x = 200,316 × 200,316
4. Step 4: Simplify right side
   96,462x = 40,126,499,856
5. Step 5: Solve for x
   x = 40,126,499,856/96,462
6. Step 6: Final answer
   x = 415,982.46