Finding the Third Proportional to 100,616 and 136,162

Step by Step Solution

1. Step 1: Write the proportion equation
   100,616 : 136,162 = 136,162 : x
2. Step 2: Convert to fraction form
   100,616/136,162 = 136,162/x
3. Step 3: Cross multiply
   100,616x = 136,162 × 136,162
4. Step 4: Simplify right side
   100,616x = 18,540,090,244
5. Step 5: Solve for x
   x = 18,540,090,244/100,616
6. Step 6: Final answer
   x = 184,265.82