Finding the Third Proportional to 182,155.50 and 275,778

Step by Step Solution

1. Step 1: Write the proportion equation
   182,155.50 : 275,778 = 275,778 : x
2. Step 2: Convert to fraction form
   182,155.50/275,778 = 275,778/x
3. Step 3: Cross multiply
   182,155.50x = 275,778 × 275,778
4. Step 4: Simplify right side
   182,155.50x = 76,053,505,284
5. Step 5: Solve for x
   x = 76,053,505,284/182,155.50
6. Step 6: Final answer
   x = 417,519.68