Finding the Third Proportional to 74,656 and 116,530

Step by Step Solution

1. Step 1: Write the proportion equation
   74,656 : 116,530 = 116,530 : x
2. Step 2: Convert to fraction form
   74,656/116,530 = 116,530/x
3. Step 3: Cross multiply
   74,656x = 116,530 × 116,530
4. Step 4: Simplify right side
   74,656x = 13,579,240,900
5. Step 5: Solve for x
   x = 13,579,240,900/74,656
6. Step 6: Final answer
   x = 181,890.82