Finding the Third Proportional to 69,746 and 151,082

Step by Step Solution

1. Step 1: Write the proportion equation
   69,746 : 151,082 = 151,082 : x
2. Step 2: Convert to fraction form
   69,746/151,082 = 151,082/x
3. Step 3: Cross multiply
   69,746x = 151,082 × 151,082
4. Step 4: Simplify right side
   69,746x = 22,825,770,724
5. Step 5: Solve for x
   x = 22,825,770,724/69,746
6. Step 6: Final answer
   x = 327,269.96