Finding the Third Proportional to 34,659 and 80,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,659 : 80,959.50 = 80,959.50 : x
2. Step 2: Convert to fraction form
   34,659/80,959.50 = 80,959.50/x
3. Step 3: Cross multiply
   34,659x = 80,959.50 × 80,959.50
4. Step 4: Simplify right side
   34,659x = 6,554,440,640.25
5. Step 5: Solve for x
   x = 6,554,440,640.25/34,659
6. Step 6: Final answer
   x = 189,112.23