Finding the Third Proportional to 81,776.25 and 176,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,776.25 : 176,080.50 = 176,080.50 : x
2. Step 2: Convert to fraction form
   81,776.25/176,080.50 = 176,080.50/x
3. Step 3: Cross multiply
   81,776.25x = 176,080.50 × 176,080.50
4. Step 4: Simplify right side
   81,776.25x = 31,004,342,480.25
5. Step 5: Solve for x
   x = 31,004,342,480.25/81,776.25
6. Step 6: Final answer
   x = 379,136.27