Finding the Third Proportional to 105,761 and 230,816

Step by Step Solution

1. Step 1: Write the proportion equation
   105,761 : 230,816 = 230,816 : x
2. Step 2: Convert to fraction form
   105,761/230,816 = 230,816/x
3. Step 3: Cross multiply
   105,761x = 230,816 × 230,816
4. Step 4: Simplify right side
   105,761x = 53,276,025,856
5. Step 5: Solve for x
   x = 53,276,025,856/105,761
6. Step 6: Final answer
   x = 503,739.81