Finding the Third Proportional to 182,164 and 275,788

Step by Step Solution

1. Step 1: Write the proportion equation
   182,164 : 275,788 = 275,788 : x
2. Step 2: Convert to fraction form
   182,164/275,788 = 275,788/x
3. Step 3: Cross multiply
   182,164x = 275,788 × 275,788
4. Step 4: Simplify right side
   182,164x = 76,059,020,944
5. Step 5: Solve for x
   x = 76,059,020,944/182,164
6. Step 6: Final answer
   x = 417,530.47