Finding the Third Proportional to 182,023.50 and 275,583

Step by Step Solution

1. Step 1: Write the proportion equation
   182,023.50 : 275,583 = 275,583 : x
2. Step 2: Convert to fraction form
   182,023.50/275,583 = 275,583/x
3. Step 3: Cross multiply
   182,023.50x = 275,583 × 275,583
4. Step 4: Simplify right side
   182,023.50x = 75,945,989,889
5. Step 5: Solve for x
   x = 75,945,989,889/182,023.50
6. Step 6: Final answer
   x = 417,231.79