Finding the Third Proportional to 106,176 and 231,082

Step by Step Solution

1. Step 1: Write the proportion equation
   106,176 : 231,082 = 231,082 : x
2. Step 2: Convert to fraction form
   106,176/231,082 = 231,082/x
3. Step 3: Cross multiply
   106,176x = 231,082 × 231,082
4. Step 4: Simplify right side
   106,176x = 53,398,890,724
5. Step 5: Solve for x
   x = 53,398,890,724/106,176
6. Step 6: Final answer
   x = 502,928.07