Finding the Third Proportional to 101,042 and 158,499

Step by Step Solution

1. Step 1: Write the proportion equation
   101,042 : 158,499 = 158,499 : x
2. Step 2: Convert to fraction form
   101,042/158,499 = 158,499/x
3. Step 3: Cross multiply
   101,042x = 158,499 × 158,499
4. Step 4: Simplify right side
   101,042x = 25,121,933,001
5. Step 5: Solve for x
   x = 25,121,933,001/101,042
6. Step 6: Final answer
   x = 248,628.62