Finding the Third Proportional to 76,638 and 105,833

Step by Step Solution

1. Step 1: Write the proportion equation
   76,638 : 105,833 = 105,833 : x
2. Step 2: Convert to fraction form
   76,638/105,833 = 105,833/x
3. Step 3: Cross multiply
   76,638x = 105,833 × 105,833
4. Step 4: Simplify right side
   76,638x = 11,200,623,889
5. Step 5: Solve for x
   x = 11,200,623,889/76,638
6. Step 6: Final answer
   x = 146,149.74