Finding the Third Proportional to 100,858 and 156,162

Step by Step Solution

1. Step 1: Write the proportion equation
   100,858 : 156,162 = 156,162 : x
2. Step 2: Convert to fraction form
   100,858/156,162 = 156,162/x
3. Step 3: Cross multiply
   100,858x = 156,162 × 156,162
4. Step 4: Simplify right side
   100,858x = 24,386,570,244
5. Step 5: Solve for x
   x = 24,386,570,244/100,858
6. Step 6: Final answer
   x = 241,791.13