Finding the Third Proportional to 101,356 and 158,996

Step by Step Solution

1. Step 1: Write the proportion equation
   101,356 : 158,996 = 158,996 : x
2. Step 2: Convert to fraction form
   101,356/158,996 = 158,996/x
3. Step 3: Cross multiply
   101,356x = 158,996 × 158,996
4. Step 4: Simplify right side
   101,356x = 25,279,728,016
5. Step 5: Solve for x
   x = 25,279,728,016/101,356
6. Step 6: Final answer
   x = 249,415.21