Finding the Third Proportional to 105,104 and 233,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,104 : 233,536 = 233,536 : x
2. Step 2: Convert to fraction form
   105,104/233,536 = 233,536/x
3. Step 3: Cross multiply
   105,104x = 233,536 × 233,536
4. Step 4: Simplify right side
   105,104x = 54,539,063,296
5. Step 5: Solve for x
   x = 54,539,063,296/105,104
6. Step 6: Final answer
   x = 518,905.69