Finding the Third Proportional to 78,082 and 123,518

Step by Step Solution

1. Step 1: Write the proportion equation
   78,082 : 123,518 = 123,518 : x
2. Step 2: Convert to fraction form
   78,082/123,518 = 123,518/x
3. Step 3: Cross multiply
   78,082x = 123,518 × 123,518
4. Step 4: Simplify right side
   78,082x = 15,256,696,324
5. Step 5: Solve for x
   x = 15,256,696,324/78,082
6. Step 6: Final answer
   x = 195,393.26