Finding the Third Proportional to 103,816 and 148,456

Step by Step Solution

1. Step 1: Write the proportion equation
   103,816 : 148,456 = 148,456 : x
2. Step 2: Convert to fraction form
   103,816/148,456 = 148,456/x
3. Step 3: Cross multiply
   103,816x = 148,456 × 148,456
4. Step 4: Simplify right side
   103,816x = 22,039,183,936
5. Step 5: Solve for x
   x = 22,039,183,936/103,816
6. Step 6: Final answer
   x = 212,290.82