Finding the Third Proportional to 82,106.50 and 123,747

Step by Step Solution

1. Step 1: Write the proportion equation
   82,106.50 : 123,747 = 123,747 : x
2. Step 2: Convert to fraction form
   82,106.50/123,747 = 123,747/x
3. Step 3: Cross multiply
   82,106.50x = 123,747 × 123,747
4. Step 4: Simplify right side
   82,106.50x = 15,313,320,009
5. Step 5: Solve for x
   x = 15,313,320,009/82,106.50
6. Step 6: Final answer
   x = 186,505.58