Finding the Third Proportional to 111,863 and 218,056

Step by Step Solution

1. Step 1: Write the proportion equation
   111,863 : 218,056 = 218,056 : x
2. Step 2: Convert to fraction form
   111,863/218,056 = 218,056/x
3. Step 3: Cross multiply
   111,863x = 218,056 × 218,056
4. Step 4: Simplify right side
   111,863x = 47,548,419,136
5. Step 5: Solve for x
   x = 47,548,419,136/111,863
6. Step 6: Final answer
   x = 425,059.40