Finding the Third Proportional to 148,288 and 229,805

Step by Step Solution

1. Step 1: Write the proportion equation
   148,288 : 229,805 = 229,805 : x
2. Step 2: Convert to fraction form
   148,288/229,805 = 229,805/x
3. Step 3: Cross multiply
   148,288x = 229,805 × 229,805
4. Step 4: Simplify right side
   148,288x = 52,810,338,025
5. Step 5: Solve for x
   x = 52,810,338,025/148,288
6. Step 6: Final answer
   x = 356,133.59