Finding the Third Proportional to 58,016 and 123,619

Step by Step Solution

1. Step 1: Write the proportion equation
   58,016 : 123,619 = 123,619 : x
2. Step 2: Convert to fraction form
   58,016/123,619 = 123,619/x
3. Step 3: Cross multiply
   58,016x = 123,619 × 123,619
4. Step 4: Simplify right side
   58,016x = 15,281,657,161
5. Step 5: Solve for x
   x = 15,281,657,161/58,016
6. Step 6: Final answer
   x = 263,404.18