Finding the Third Proportional to 147,856 and 229,372

Step by Step Solution

1. Step 1: Write the proportion equation
   147,856 : 229,372 = 229,372 : x
2. Step 2: Convert to fraction form
   147,856/229,372 = 229,372/x
3. Step 3: Cross multiply
   147,856x = 229,372 × 229,372
4. Step 4: Simplify right side
   147,856x = 52,611,514,384
5. Step 5: Solve for x
   x = 52,611,514,384/147,856
6. Step 6: Final answer
   x = 355,829.42