Finding the Third Proportional to 146,648 and 228,738

Step by Step Solution

1. Step 1: Write the proportion equation
   146,648 : 228,738 = 228,738 : x
2. Step 2: Convert to fraction form
   146,648/228,738 = 228,738/x
3. Step 3: Cross multiply
   146,648x = 228,738 × 228,738
4. Step 4: Simplify right side
   146,648x = 52,321,072,644
5. Step 5: Solve for x
   x = 52,321,072,644/146,648
6. Step 6: Final answer
   x = 356,779.99