Finding the Third Proportional to 185,268 and 377,082

Step by Step Solution

1. Step 1: Write the proportion equation
   185,268 : 377,082 = 377,082 : x
2. Step 2: Convert to fraction form
   185,268/377,082 = 377,082/x
3. Step 3: Cross multiply
   185,268x = 377,082 × 377,082
4. Step 4: Simplify right side
   185,268x = 142,190,834,724
5. Step 5: Solve for x
   x = 142,190,834,724/185,268
6. Step 6: Final answer
   x = 767,487.29