Finding the Third Proportional to 103,696 and 154,830

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 154,830 = 154,830 : x
2. Step 2: Convert to fraction form
   103,696/154,830 = 154,830/x
3. Step 3: Cross multiply
   103,696x = 154,830 × 154,830
4. Step 4: Simplify right side
   103,696x = 23,972,328,900
5. Step 5: Solve for x
   x = 23,972,328,900/103,696
6. Step 6: Final answer
   x = 231,178.92