Finding the Third Proportional to 82,196 and 123,767

Step by Step Solution

1. Step 1: Write the proportion equation
   82,196 : 123,767 = 123,767 : x
2. Step 2: Convert to fraction form
   82,196/123,767 = 123,767/x
3. Step 3: Cross multiply
   82,196x = 123,767 × 123,767
4. Step 4: Simplify right side
   82,196x = 15,318,270,289
5. Step 5: Solve for x
   x = 15,318,270,289/82,196
6. Step 6: Final answer
   x = 186,362.72