Finding the Third Proportional to 105,826.50 and 226,206

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826.50 : 226,206 = 226,206 : x
2. Step 2: Convert to fraction form
   105,826.50/226,206 = 226,206/x
3. Step 3: Cross multiply
   105,826.50x = 226,206 × 226,206
4. Step 4: Simplify right side
   105,826.50x = 51,169,154,436
5. Step 5: Solve for x
   x = 51,169,154,436/105,826.50
6. Step 6: Final answer
   x = 483,519.29