Finding the Third Proportional to 82,518 and 123,960

Step by Step Solution

1. Step 1: Write the proportion equation
   82,518 : 123,960 = 123,960 : x
2. Step 2: Convert to fraction form
   82,518/123,960 = 123,960/x
3. Step 3: Cross multiply
   82,518x = 123,960 × 123,960
4. Step 4: Simplify right side
   82,518x = 15,366,081,600
5. Step 5: Solve for x
   x = 15,366,081,600/82,518
6. Step 6: Final answer
   x = 186,214.91