Finding the Third Proportional to 105,761 and 229,954

Step by Step Solution

1. Step 1: Write the proportion equation
   105,761 : 229,954 = 229,954 : x
2. Step 2: Convert to fraction form
   105,761/229,954 = 229,954/x
3. Step 3: Cross multiply
   105,761x = 229,954 × 229,954
4. Step 4: Simplify right side
   105,761x = 52,878,842,116
5. Step 5: Solve for x
   x = 52,878,842,116/105,761
6. Step 6: Final answer
   x = 499,984.32