Finding the Third Proportional to 81,980 and 116,220

Step by Step Solution

1. Step 1: Write the proportion equation
   81,980 : 116,220 = 116,220 : x
2. Step 2: Convert to fraction form
   81,980/116,220 = 116,220/x
3. Step 3: Cross multiply
   81,980x = 116,220 × 116,220
4. Step 4: Simplify right side
   81,980x = 13,507,088,400
5. Step 5: Solve for x
   x = 13,507,088,400/81,980
6. Step 6: Final answer
   x = 164,760.78