Finding the Third Proportional to 91,544 and 200,584

Step by Step Solution

1. Step 1: Write the proportion equation
   91,544 : 200,584 = 200,584 : x
2. Step 2: Convert to fraction form
   91,544/200,584 = 200,584/x
3. Step 3: Cross multiply
   91,544x = 200,584 × 200,584
4. Step 4: Simplify right side
   91,544x = 40,233,941,056
5. Step 5: Solve for x
   x = 40,233,941,056/91,544
6. Step 6: Final answer
   x = 439,503.86