Finding the Third Proportional to 91,146 and 200,214

Step by Step Solution

1. Step 1: Write the proportion equation
   91,146 : 200,214 = 200,214 : x
2. Step 2: Convert to fraction form
   91,146/200,214 = 200,214/x
3. Step 3: Cross multiply
   91,146x = 200,214 × 200,214
4. Step 4: Simplify right side
   91,146x = 40,085,645,796
5. Step 5: Solve for x
   x = 40,085,645,796/91,146
6. Step 6: Final answer
   x = 439,796.00