Finding the Third Proportional to 100,905.50 and 158,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,905.50 : 158,309.50 = 158,309.50 : x
2. Step 2: Convert to fraction form
   100,905.50/158,309.50 = 158,309.50/x
3. Step 3: Cross multiply
   100,905.50x = 158,309.50 × 158,309.50
4. Step 4: Simplify right side
   100,905.50x = 25,061,897,790.25
5. Step 5: Solve for x
   x = 25,061,897,790.25/100,905.50
6. Step 6: Final answer
   x = 248,369.99