Finding the Third Proportional to 55,678 and 86,109

Step by Step Solution

1. Step 1: Write the proportion equation
   55,678 : 86,109 = 86,109 : x
2. Step 2: Convert to fraction form
   55,678/86,109 = 86,109/x
3. Step 3: Cross multiply
   55,678x = 86,109 × 86,109
4. Step 4: Simplify right side
   55,678x = 7,414,759,881
5. Step 5: Solve for x
   x = 7,414,759,881/55,678
6. Step 6: Final answer
   x = 133,172.17