Finding the Third Proportional to 58,112 and 123,202

Step by Step Solution

1. Step 1: Write the proportion equation
   58,112 : 123,202 = 123,202 : x
2. Step 2: Convert to fraction form
   58,112/123,202 = 123,202/x
3. Step 3: Cross multiply
   58,112x = 123,202 × 123,202
4. Step 4: Simplify right side
   58,112x = 15,178,732,804
5. Step 5: Solve for x
   x = 15,178,732,804/58,112
6. Step 6: Final answer
   x = 261,197.91