Finding the Third Proportional to 41,562 and 86,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,562 : 86,080.50 = 86,080.50 : x
2. Step 2: Convert to fraction form
   41,562/86,080.50 = 86,080.50/x
3. Step 3: Cross multiply
   41,562x = 86,080.50 × 86,080.50
4. Step 4: Simplify right side
   41,562x = 7,409,852,480.25
5. Step 5: Solve for x
   x = 7,409,852,480.25/41,562
6. Step 6: Final answer
   x = 178,284.31