Finding the Third Proportional to 100,728 and 148,308

Step by Step Solution

1. Step 1: Write the proportion equation
   100,728 : 148,308 = 148,308 : x
2. Step 2: Convert to fraction form
   100,728/148,308 = 148,308/x
3. Step 3: Cross multiply
   100,728x = 148,308 × 148,308
4. Step 4: Simplify right side
   100,728x = 21,995,262,864
5. Step 5: Solve for x
   x = 21,995,262,864/100,728
6. Step 6: Final answer
   x = 218,362.95