Finding the Third Proportional to 76,722 and 116,685

Step by Step Solution

1. Step 1: Write the proportion equation
   76,722 : 116,685 = 116,685 : x
2. Step 2: Convert to fraction form
   76,722/116,685 = 116,685/x
3. Step 3: Cross multiply
   76,722x = 116,685 × 116,685
4. Step 4: Simplify right side
   76,722x = 13,615,389,225
5. Step 5: Solve for x
   x = 13,615,389,225/76,722
6. Step 6: Final answer
   x = 177,463.95