Finding the Third Proportional to 82,164 and 123,606

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164 : 123,606 = 123,606 : x
2. Step 2: Convert to fraction form
   82,164/123,606 = 123,606/x
3. Step 3: Cross multiply
   82,164x = 123,606 × 123,606
4. Step 4: Simplify right side
   82,164x = 15,278,443,236
5. Step 5: Solve for x
   x = 15,278,443,236/82,164
6. Step 6: Final answer
   x = 185,950.58