Finding the Third Proportional to 91,137 and 200,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91,137 : 200,196.75 = 200,196.75 : x
2. Step 2: Convert to fraction form
   91,137/200,196.75 = 200,196.75/x
3. Step 3: Cross multiply
   91,137x = 200,196.75 × 200,196.75
4. Step 4: Simplify right side
   91,137x = 40,078,738,710.56
5. Step 5: Solve for x
   x = 40,078,738,710.56/91,137
6. Step 6: Final answer
   x = 439,763.64