Finding the Third Proportional to 83,110 and 116,619

Step by Step Solution

1. Step 1: Write the proportion equation
   83,110 : 116,619 = 116,619 : x
2. Step 2: Convert to fraction form
   83,110/116,619 = 116,619/x
3. Step 3: Cross multiply
   83,110x = 116,619 × 116,619
4. Step 4: Simplify right side
   83,110x = 13,599,991,161
5. Step 5: Solve for x
   x = 13,599,991,161/83,110
6. Step 6: Final answer
   x = 163,638.44