Finding the Third Proportional to 82,106 and 123,756

Step by Step Solution

1. Step 1: Write the proportion equation
   82,106 : 123,756 = 123,756 : x
2. Step 2: Convert to fraction form
   82,106/123,756 = 123,756/x
3. Step 3: Cross multiply
   82,106x = 123,756 × 123,756
4. Step 4: Simplify right side
   82,106x = 15,315,547,536
5. Step 5: Solve for x
   x = 15,315,547,536/82,106
6. Step 6: Final answer
   x = 186,533.84