Finding the Third Proportional to 76,674 and 116,390

Step by Step Solution

1. Step 1: Write the proportion equation
   76,674 : 116,390 = 116,390 : x
2. Step 2: Convert to fraction form
   76,674/116,390 = 116,390/x
3. Step 3: Cross multiply
   76,674x = 116,390 × 116,390
4. Step 4: Simplify right side
   76,674x = 13,546,632,100
5. Step 5: Solve for x
   x = 13,546,632,100/76,674
6. Step 6: Final answer
   x = 176,678.30