Finding the Third Proportional to 182,257.50 and 275,898

Step by Step Solution

1. Step 1: Write the proportion equation
   182,257.50 : 275,898 = 275,898 : x
2. Step 2: Convert to fraction form
   182,257.50/275,898 = 275,898/x
3. Step 3: Cross multiply
   182,257.50x = 275,898 × 275,898
4. Step 4: Simplify right side
   182,257.50x = 76,119,706,404
5. Step 5: Solve for x
   x = 76,119,706,404/182,257.50
6. Step 6: Final answer
   x = 417,649.24