Finding the Third Proportional to 82,656 and 123,786

Step by Step Solution

1. Step 1: Write the proportion equation
   82,656 : 123,786 = 123,786 : x
2. Step 2: Convert to fraction form
   82,656/123,786 = 123,786/x
3. Step 3: Cross multiply
   82,656x = 123,786 × 123,786
4. Step 4: Simplify right side
   82,656x = 15,322,973,796
5. Step 5: Solve for x
   x = 15,322,973,796/82,656
6. Step 6: Final answer
   x = 185,382.47