Finding the Third Proportional to 27,178 and 58,616

Step by Step Solution

1. Step 1: Write the proportion equation
   27,178 : 58,616 = 58,616 : x
2. Step 2: Convert to fraction form
   27,178/58,616 = 58,616/x
3. Step 3: Cross multiply
   27,178x = 58,616 × 58,616
4. Step 4: Simplify right side
   27,178x = 3,435,835,456
5. Step 5: Solve for x
   x = 3,435,835,456/27,178
6. Step 6: Final answer
   x = 126,419.73