Finding the Third Proportional to 83,556 and 117,108

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 117,108 = 117,108 : x
2. Step 2: Convert to fraction form
   83,556/117,108 = 117,108/x
3. Step 3: Cross multiply
   83,556x = 117,108 × 117,108
4. Step 4: Simplify right side
   83,556x = 13,714,283,664
5. Step 5: Solve for x
   x = 13,714,283,664/83,556
6. Step 6: Final answer
   x = 164,132.84