Finding the Third Proportional to 182,003 and 275,550

Step by Step Solution

1. Step 1: Write the proportion equation
   182,003 : 275,550 = 275,550 : x
2. Step 2: Convert to fraction form
   182,003/275,550 = 275,550/x
3. Step 3: Cross multiply
   182,003x = 275,550 × 275,550
4. Step 4: Simplify right side
   182,003x = 75,927,802,500
5. Step 5: Solve for x
   x = 75,927,802,500/182,003
6. Step 6: Final answer
   x = 417,178.85