Finding the Third Proportional to 70,357 and 148,003

Step by Step Solution

1. Step 1: Write the proportion equation
   70,357 : 148,003 = 148,003 : x
2. Step 2: Convert to fraction form
   70,357/148,003 = 148,003/x
3. Step 3: Cross multiply
   70,357x = 148,003 × 148,003
4. Step 4: Simplify right side
   70,357x = 21,904,888,009
5. Step 5: Solve for x
   x = 21,904,888,009/70,357
6. Step 6: Final answer
   x = 311,339.14