Finding the Third Proportional to 105,786 and 230,865

Step by Step Solution

1. Step 1: Write the proportion equation
   105,786 : 230,865 = 230,865 : x
2. Step 2: Convert to fraction form
   105,786/230,865 = 230,865/x
3. Step 3: Cross multiply
   105,786x = 230,865 × 230,865
4. Step 4: Simplify right side
   105,786x = 53,298,648,225
5. Step 5: Solve for x
   x = 53,298,648,225/105,786
6. Step 6: Final answer
   x = 503,834.61