Finding the Third Proportional to 91,824 and 146,082

Step by Step Solution

1. Step 1: Write the proportion equation
   91,824 : 146,082 = 146,082 : x
2. Step 2: Convert to fraction form
   91,824/146,082 = 146,082/x
3. Step 3: Cross multiply
   91,824x = 146,082 × 146,082
4. Step 4: Simplify right side
   91,824x = 21,339,950,724
5. Step 5: Solve for x
   x = 21,339,950,724/91,824
6. Step 6: Final answer
   x = 232,400.58