Finding the Third Proportional to 116,627 and 185,666

Step by Step Solution

1. Step 1: Write the proportion equation
   116,627 : 185,666 = 185,666 : x
2. Step 2: Convert to fraction form
   116,627/185,666 = 185,666/x
3. Step 3: Cross multiply
   116,627x = 185,666 × 185,666
4. Step 4: Simplify right side
   116,627x = 34,471,863,556
5. Step 5: Solve for x
   x = 34,471,863,556/116,627
6. Step 6: Final answer
   x = 295,573.61