Finding the Third Proportional to 182,182.50 and 275,814

Step by Step Solution

1. Step 1: Write the proportion equation
   182,182.50 : 275,814 = 275,814 : x
2. Step 2: Convert to fraction form
   182,182.50/275,814 = 275,814/x
3. Step 3: Cross multiply
   182,182.50x = 275,814 × 275,814
4. Step 4: Simplify right side
   182,182.50x = 76,073,362,596
5. Step 5: Solve for x
   x = 76,073,362,596/182,182.50
6. Step 6: Final answer
   x = 417,566.79