Finding the Third Proportional to 103,696 and 158,820

Step by Step Solution

1. Step 1: Write the proportion equation
   103,696 : 158,820 = 158,820 : x
2. Step 2: Convert to fraction form
   103,696/158,820 = 158,820/x
3. Step 3: Cross multiply
   103,696x = 158,820 × 158,820
4. Step 4: Simplify right side
   103,696x = 25,223,792,400
5. Step 5: Solve for x
   x = 25,223,792,400/103,696
6. Step 6: Final answer
   x = 243,247.50