Finding the Third Proportional to 101,546 and 158,799

Step by Step Solution

1. Step 1: Write the proportion equation
   101,546 : 158,799 = 158,799 : x
2. Step 2: Convert to fraction form
   101,546/158,799 = 158,799/x
3. Step 3: Cross multiply
   101,546x = 158,799 × 158,799
4. Step 4: Simplify right side
   101,546x = 25,217,122,401
5. Step 5: Solve for x
   x = 25,217,122,401/101,546
6. Step 6: Final answer
   x = 248,332.01