Finding the Third Proportional to 172,082 and 377,284

Step by Step Solution

1. Step 1: Write the proportion equation
   172,082 : 377,284 = 377,284 : x
2. Step 2: Convert to fraction form
   172,082/377,284 = 377,284/x
3. Step 3: Cross multiply
   172,082x = 377,284 × 377,284
4. Step 4: Simplify right side
   172,082x = 142,343,216,656
5. Step 5: Solve for x
   x = 142,343,216,656/172,082
6. Step 6: Final answer
   x = 827,182.49