Finding the Third Proportional to 101,756 and 158,262

Step by Step Solution

1. Step 1: Write the proportion equation
   101,756 : 158,262 = 158,262 : x
2. Step 2: Convert to fraction form
   101,756/158,262 = 158,262/x
3. Step 3: Cross multiply
   101,756x = 158,262 × 158,262
4. Step 4: Simplify right side
   101,756x = 25,046,860,644
5. Step 5: Solve for x
   x = 25,046,860,644/101,756
6. Step 6: Final answer
   x = 246,146.28