Finding the Third Proportional to 82,802.25 and 180,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,802.25 : 180,096.75 = 180,096.75 : x
2. Step 2: Convert to fraction form
   82,802.25/180,096.75 = 180,096.75/x
3. Step 3: Cross multiply
   82,802.25x = 180,096.75 × 180,096.75
4. Step 4: Simplify right side
   82,802.25x = 32,434,839,360.56
5. Step 5: Solve for x
   x = 32,434,839,360.56/82,802.25
6. Step 6: Final answer
   x = 391,714.47