Finding the Third Proportional to 82,778.25 and 173,051.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,778.25 : 173,051.25 = 173,051.25 : x
2. Step 2: Convert to fraction form
   82,778.25/173,051.25 = 173,051.25/x
3. Step 3: Cross multiply
   82,778.25x = 173,051.25 × 173,051.25
4. Step 4: Simplify right side
   82,778.25x = 29,946,735,126.56
5. Step 5: Solve for x
   x = 29,946,735,126.56/82,778.25
6. Step 6: Final answer
   x = 361,770.58