Finding the Third Proportional to 58,113 and 123,204

Step by Step Solution

1. Step 1: Write the proportion equation
   58,113 : 123,204 = 123,204 : x
2. Step 2: Convert to fraction form
   58,113/123,204 = 123,204/x
3. Step 3: Cross multiply
   58,113x = 123,204 × 123,204
4. Step 4: Simplify right side
   58,113x = 15,179,225,616
5. Step 5: Solve for x
   x = 15,179,225,616/58,113
6. Step 6: Final answer
   x = 261,201.89