Finding the Third Proportional to 40,980 and 83,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,980 : 83,464.50 = 83,464.50 : x
2. Step 2: Convert to fraction form
   40,980/83,464.50 = 83,464.50/x
3. Step 3: Cross multiply
   40,980x = 83,464.50 × 83,464.50
4. Step 4: Simplify right side
   40,980x = 6,966,322,760.25
5. Step 5: Solve for x
   x = 6,966,322,760.25/40,980
6. Step 6: Final answer
   x = 169,993.23