Finding the Third Proportional to 73,564.50 and 158,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,564.50 : 158,797.50 = 158,797.50 : x
2. Step 2: Convert to fraction form
   73,564.50/158,797.50 = 158,797.50/x
3. Step 3: Cross multiply
   73,564.50x = 158,797.50 × 158,797.50
4. Step 4: Simplify right side
   73,564.50x = 25,216,646,006.25
5. Step 5: Solve for x
   x = 25,216,646,006.25/73,564.50
6. Step 6: Final answer
   x = 342,782.81