Finding the Third Proportional to 116,623 and 185,661

Step by Step Solution

1. Step 1: Write the proportion equation
   116,623 : 185,661 = 185,661 : x
2. Step 2: Convert to fraction form
   116,623/185,661 = 185,661/x
3. Step 3: Cross multiply
   116,623x = 185,661 × 185,661
4. Step 4: Simplify right side
   116,623x = 34,470,006,921
5. Step 5: Solve for x
   x = 34,470,006,921/116,623
6. Step 6: Final answer
   x = 295,567.83