Finding the Third Proportional to 76,256 and 110,008

Step by Step Solution

1. Step 1: Write the proportion equation
   76,256 : 110,008 = 110,008 : x
2. Step 2: Convert to fraction form
   76,256/110,008 = 110,008/x
3. Step 3: Cross multiply
   76,256x = 110,008 × 110,008
4. Step 4: Simplify right side
   76,256x = 12,101,760,064
5. Step 5: Solve for x
   x = 12,101,760,064/76,256
6. Step 6: Final answer
   x = 158,699.12