Finding the Third Proportional to 53,918 and 83,109

Step by Step Solution

1. Step 1: Write the proportion equation
   53,918 : 83,109 = 83,109 : x
2. Step 2: Convert to fraction form
   53,918/83,109 = 83,109/x
3. Step 3: Cross multiply
   53,918x = 83,109 × 83,109
4. Step 4: Simplify right side
   53,918x = 6,907,105,881
5. Step 5: Solve for x
   x = 6,907,105,881/53,918
6. Step 6: Final answer
   x = 128,103.90