Finding the Third Proportional to 116,622 and 185,658

Step by Step Solution

1. Step 1: Write the proportion equation
   116,622 : 185,658 = 185,658 : x
2. Step 2: Convert to fraction form
   116,622/185,658 = 185,658/x
3. Step 3: Cross multiply
   116,622x = 185,658 × 185,658
4. Step 4: Simplify right side
   116,622x = 34,468,892,964
5. Step 5: Solve for x
   x = 34,468,892,964/116,622
6. Step 6: Final answer
   x = 295,560.81