Finding the Third Proportional to 58,142 and 123,274

Step by Step Solution

1. Step 1: Write the proportion equation
   58,142 : 123,274 = 123,274 : x
2. Step 2: Convert to fraction form
   58,142/123,274 = 123,274/x
3. Step 3: Cross multiply
   58,142x = 123,274 × 123,274
4. Step 4: Simplify right side
   58,142x = 15,196,479,076
5. Step 5: Solve for x
   x = 15,196,479,076/58,142
6. Step 6: Final answer
   x = 261,368.36