Finding the Third Proportional to 82,488 and 123,516

Step by Step Solution

1. Step 1: Write the proportion equation
   82,488 : 123,516 = 123,516 : x
2. Step 2: Convert to fraction form
   82,488/123,516 = 123,516/x
3. Step 3: Cross multiply
   82,488x = 123,516 × 123,516
4. Step 4: Simplify right side
   82,488x = 15,256,202,256
5. Step 5: Solve for x
   x = 15,256,202,256/82,488
6. Step 6: Final answer
   x = 184,950.57