Finding the Third Proportional to 58,020 and 123,627

Step by Step Solution

1. Step 1: Write the proportion equation
   58,020 : 123,627 = 123,627 : x
2. Step 2: Convert to fraction form
   58,020/123,627 = 123,627/x
3. Step 3: Cross multiply
   58,020x = 123,627 × 123,627
4. Step 4: Simplify right side
   58,020x = 15,283,635,129
5. Step 5: Solve for x
   x = 15,283,635,129/58,020
6. Step 6: Final answer
   x = 263,420.12