Finding the Third Proportional to 116,629 and 185,669

Step by Step Solution

1. Step 1: Write the proportion equation
   116,629 : 185,669 = 185,669 : x
2. Step 2: Convert to fraction form
   116,629/185,669 = 185,669/x
3. Step 3: Cross multiply
   116,629x = 185,669 × 185,669
4. Step 4: Simplify right side
   116,629x = 34,472,977,561
5. Step 5: Solve for x
   x = 34,472,977,561/116,629
6. Step 6: Final answer
   x = 295,578.09