Finding the Third Proportional to 73,674 and 116,838

Step by Step Solution

1. Step 1: Write the proportion equation
   73,674 : 116,838 = 116,838 : x
2. Step 2: Convert to fraction form
   73,674/116,838 = 116,838/x
3. Step 3: Cross multiply
   73,674x = 116,838 × 116,838
4. Step 4: Simplify right side
   73,674x = 13,651,118,244
5. Step 5: Solve for x
   x = 13,651,118,244/73,674
6. Step 6: Final answer
   x = 185,290.85