Finding the Third Proportional to 129,367.50 and 178,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,367.50 : 178,141.50 = 178,141.50 : x
2. Step 2: Convert to fraction form
   129,367.50/178,141.50 = 178,141.50/x
3. Step 3: Cross multiply
   129,367.50x = 178,141.50 × 178,141.50
4. Step 4: Simplify right side
   129,367.50x = 31,734,394,022.25
5. Step 5: Solve for x
   x = 31,734,394,022.25/129,367.50
6. Step 6: Final answer
   x = 245,304.22