Finding the Third Proportional to 82,764 and 124,146

Step by Step Solution

1. Step 1: Write the proportion equation
   82,764 : 124,146 = 124,146 : x
2. Step 2: Convert to fraction form
   82,764/124,146 = 124,146/x
3. Step 3: Cross multiply
   82,764x = 124,146 × 124,146
4. Step 4: Simplify right side
   82,764x = 15,412,229,316
5. Step 5: Solve for x
   x = 15,412,229,316/82,764
6. Step 6: Final answer
   x = 186,219