Finding the Third Proportional to 99,516 and 154,082

Step by Step Solution

1. Step 1: Write the proportion equation
   99,516 : 154,082 = 154,082 : x
2. Step 2: Convert to fraction form
   99,516/154,082 = 154,082/x
3. Step 3: Cross multiply
   99,516x = 154,082 × 154,082
4. Step 4: Simplify right side
   99,516x = 23,741,262,724
5. Step 5: Solve for x
   x = 23,741,262,724/99,516
6. Step 6: Final answer
   x = 238,567.29