Finding the Third Proportional to 108,782 and 230,614

Step by Step Solution

1. Step 1: Write the proportion equation
   108,782 : 230,614 = 230,614 : x
2. Step 2: Convert to fraction form
   108,782/230,614 = 230,614/x
3. Step 3: Cross multiply
   108,782x = 230,614 × 230,614
4. Step 4: Simplify right side
   108,782x = 53,182,816,996
5. Step 5: Solve for x
   x = 53,182,816,996/108,782
6. Step 6: Final answer
   x = 488,893.54