Finding the Third Proportional to 82,778 and 173,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,778 : 173,050.50 = 173,050.50 : x
2. Step 2: Convert to fraction form
   82,778/173,050.50 = 173,050.50/x
3. Step 3: Cross multiply
   82,778x = 173,050.50 × 173,050.50
4. Step 4: Simplify right side
   82,778x = 29,946,475,550.25
5. Step 5: Solve for x
   x = 29,946,475,550.25/82,778
6. Step 6: Final answer
   x = 361,768.53