Finding the Third Proportional to 150,624 and 233,082

Step by Step Solution

1. Step 1: Write the proportion equation
   150,624 : 233,082 = 233,082 : x
2. Step 2: Convert to fraction form
   150,624/233,082 = 233,082/x
3. Step 3: Cross multiply
   150,624x = 233,082 × 233,082
4. Step 4: Simplify right side
   150,624x = 54,327,218,724
5. Step 5: Solve for x
   x = 54,327,218,724/150,624
6. Step 6: Final answer
   x = 360,681.03