Finding the Third Proportional to 83,980 and 117,410

Step by Step Solution

1. Step 1: Write the proportion equation
   83,980 : 117,410 = 117,410 : x
2. Step 2: Convert to fraction form
   83,980/117,410 = 117,410/x
3. Step 3: Cross multiply
   83,980x = 117,410 × 117,410
4. Step 4: Simplify right side
   83,980x = 13,785,108,100
5. Step 5: Solve for x
   x = 13,785,108,100/83,980
6. Step 6: Final answer
   x = 164,147.51