Finding the Third Proportional to 102,267 and 158,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,267 : 158,716.50 = 158,716.50 : x
2. Step 2: Convert to fraction form
   102,267/158,716.50 = 158,716.50/x
3. Step 3: Cross multiply
   102,267x = 158,716.50 × 158,716.50
4. Step 4: Simplify right side
   102,267x = 25,190,927,372.25
5. Step 5: Solve for x
   x = 25,190,927,372.25/102,267
6. Step 6: Final answer
   x = 246,325.08