Finding the Third Proportional to 86,409 and 134,109

Step by Step Solution

1. Step 1: Write the proportion equation
   86,409 : 134,109 = 134,109 : x
2. Step 2: Convert to fraction form
   86,409/134,109 = 134,109/x
3. Step 3: Cross multiply
   86,409x = 134,109 × 134,109
4. Step 4: Simplify right side
   86,409x = 17,985,223,881
5. Step 5: Solve for x
   x = 17,985,223,881/86,409
6. Step 6: Final answer
   x = 208,140.63