Finding the Third Proportional to 82,991.46 and 177,815.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,991.46 : 177,815.88 = 177,815.88 : x
2. Step 2: Convert to fraction form
   82,991.46/177,815.88 = 177,815.88/x
3. Step 3: Cross multiply
   82,991.46x = 177,815.88 × 177,815.88
4. Step 4: Simplify right side
   82,991.46x = 31,618,488,180.39
5. Step 5: Solve for x
   x = 31,618,488,180.39/82,991.46
6. Step 6: Final answer
   x = 380,984.84