Finding the Third Proportional to 82,078.31 and 176,821.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82,078.31 : 176,821.31 = 176,821.31 : x
2. Step 2: Convert to fraction form
   82,078.31/176,821.31 = 176,821.31/x
3. Step 3: Cross multiply
   82,078.31x = 176,821.31 × 176,821.31
4. Step 4: Simplify right side
   82,078.31x = 31,265,776,554.22
5. Step 5: Solve for x
   x = 31,265,776,554.22/82,078.31
6. Step 6: Final answer
   x = 380,926.16