Finding the Third Proportional to 76,863 and 103,627

Step by Step Solution

1. Step 1: Write the proportion equation
   76,863 : 103,627 = 103,627 : x
2. Step 2: Convert to fraction form
   76,863/103,627 = 103,627/x
3. Step 3: Cross multiply
   76,863x = 103,627 × 103,627
4. Step 4: Simplify right side
   76,863x = 10,738,555,129
5. Step 5: Solve for x
   x = 10,738,555,129/76,863
6. Step 6: Final answer
   x = 139,710.33