Finding the Third Proportional to 123,193 and 266,082

Step by Step Solution

1. Step 1: Write the proportion equation
   123,193 : 266,082 = 266,082 : x
2. Step 2: Convert to fraction form
   123,193/266,082 = 266,082/x
3. Step 3: Cross multiply
   123,193x = 266,082 × 266,082
4. Step 4: Simplify right side
   123,193x = 70,799,630,724
5. Step 5: Solve for x
   x = 70,799,630,724/123,193
6. Step 6: Final answer
   x = 574,704.98