Finding the Third Proportional to 100,967.25 and 158,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,967.25 : 158,401.50 = 158,401.50 : x
2. Step 2: Convert to fraction form
   100,967.25/158,401.50 = 158,401.50/x
3. Step 3: Cross multiply
   100,967.25x = 158,401.50 × 158,401.50
4. Step 4: Simplify right side
   100,967.25x = 25,091,035,202.25
5. Step 5: Solve for x
   x = 25,091,035,202.25/100,967.25
6. Step 6: Final answer
   x = 248,506.67