Finding the Third Proportional to 82,109 and 123,751

Step by Step Solution

1. Step 1: Write the proportion equation
   82,109 : 123,751 = 123,751 : x
2. Step 2: Convert to fraction form
   82,109/123,751 = 123,751/x
3. Step 3: Cross multiply
   82,109x = 123,751 × 123,751
4. Step 4: Simplify right side
   82,109x = 15,314,310,001
5. Step 5: Solve for x
   x = 15,314,310,001/82,109
6. Step 6: Final answer
   x = 186,511.95