Finding the Third Proportional to 106,636 and 233,359

Step by Step Solution

1. Step 1: Write the proportion equation
   106,636 : 233,359 = 233,359 : x
2. Step 2: Convert to fraction form
   106,636/233,359 = 233,359/x
3. Step 3: Cross multiply
   106,636x = 233,359 × 233,359
4. Step 4: Simplify right side
   106,636x = 54,456,422,881
5. Step 5: Solve for x
   x = 54,456,422,881/106,636
6. Step 6: Final answer
   x = 510,675.78