Finding the Third Proportional to 91,740 and 200,964

Step by Step Solution

1. Step 1: Write the proportion equation
   91,740 : 200,964 = 200,964 : x
2. Step 2: Convert to fraction form
   91,740/200,964 = 200,964/x
3. Step 3: Cross multiply
   91,740x = 200,964 × 200,964
4. Step 4: Simplify right side
   91,740x = 40,386,529,296
5. Step 5: Solve for x
   x = 40,386,529,296/91,740
6. Step 6: Final answer
   x = 440,228.14