Finding the Third Proportional to 58,144 and 123,278

Step by Step Solution

1. Step 1: Write the proportion equation
   58,144 : 123,278 = 123,278 : x
2. Step 2: Convert to fraction form
   58,144/123,278 = 123,278/x
3. Step 3: Cross multiply
   58,144x = 123,278 × 123,278
4. Step 4: Simplify right side
   58,144x = 15,197,465,284
5. Step 5: Solve for x
   x = 15,197,465,284/58,144
6. Step 6: Final answer
   x = 261,376.33