Finding the Third Proportional to 106,636 and 233,360

Step by Step Solution

1. Step 1: Write the proportion equation
   106,636 : 233,360 = 233,360 : x
2. Step 2: Convert to fraction form
   106,636/233,360 = 233,360/x
3. Step 3: Cross multiply
   106,636x = 233,360 × 233,360
4. Step 4: Simplify right side
   106,636x = 54,456,889,600
5. Step 5: Solve for x
   x = 54,456,889,600/106,636
6. Step 6: Final answer
   x = 510,680.16