Finding the Third Proportional to 76,759 and 116,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,759 : 116,995.50 = 116,995.50 : x
2. Step 2: Convert to fraction form
   76,759/116,995.50 = 116,995.50/x
3. Step 3: Cross multiply
   76,759x = 116,995.50 × 116,995.50
4. Step 4: Simplify right side
   76,759x = 13,687,947,020.25
5. Step 5: Solve for x
   x = 13,687,947,020.25/76,759
6. Step 6: Final answer
   x = 178,323.68