Finding the Third Proportional to 147,648 and 229,062

Step by Step Solution

1. Step 1: Write the proportion equation
   147,648 : 229,062 = 229,062 : x
2. Step 2: Convert to fraction form
   147,648/229,062 = 229,062/x
3. Step 3: Cross multiply
   147,648x = 229,062 × 229,062
4. Step 4: Simplify right side
   147,648x = 52,469,399,844
5. Step 5: Solve for x
   x = 52,469,399,844/147,648
6. Step 6: Final answer
   x = 355,368.17