Finding the Third Proportional to 105,896 and 233,106

Step by Step Solution

1. Step 1: Write the proportion equation
   105,896 : 233,106 = 233,106 : x
2. Step 2: Convert to fraction form
   105,896/233,106 = 233,106/x
3. Step 3: Cross multiply
   105,896x = 233,106 × 233,106
4. Step 4: Simplify right side
   105,896x = 54,338,407,236
5. Step 5: Solve for x
   x = 54,338,407,236/105,896
6. Step 6: Final answer
   x = 513,129.93