Finding the Third Proportional to 196,536 and 461,964

Step by Step Solution

1. Step 1: Write the proportion equation
   196,536 : 461,964 = 461,964 : x
2. Step 2: Convert to fraction form
   196,536/461,964 = 461,964/x
3. Step 3: Cross multiply
   196,536x = 461,964 × 461,964
4. Step 4: Simplify right side
   196,536x = 213,410,737,296
5. Step 5: Solve for x
   x = 213,410,737,296/196,536
6. Step 6: Final answer
   x = 1,085,860.80