Finding the Third Proportional to 82,977.75 and 177,788.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,977.75 : 177,788.25 = 177,788.25 : x
2. Step 2: Convert to fraction form
   82,977.75/177,788.25 = 177,788.25/x
3. Step 3: Cross multiply
   82,977.75x = 177,788.25 × 177,788.25
4. Step 4: Simplify right side
   82,977.75x = 31,608,661,838.06
5. Step 5: Solve for x
   x = 31,608,661,838.06/82,977.75
6. Step 6: Final answer
   x = 380,929.37