Finding the Third Proportional to 72,838.50 and 158,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,838.50 : 158,495.50 = 158,495.50 : x
2. Step 2: Convert to fraction form
   72,838.50/158,495.50 = 158,495.50/x
3. Step 3: Cross multiply
   72,838.50x = 158,495.50 × 158,495.50
4. Step 4: Simplify right side
   72,838.50x = 25,120,823,520.25
5. Step 5: Solve for x
   x = 25,120,823,520.25/72,838.50
6. Step 6: Final answer
   x = 344,883.87