Finding the Third Proportional to 146,458 and 234,427

Step by Step Solution

1. Step 1: Write the proportion equation
   146,458 : 234,427 = 234,427 : x
2. Step 2: Convert to fraction form
   146,458/234,427 = 234,427/x
3. Step 3: Cross multiply
   146,458x = 234,427 × 234,427
4. Step 4: Simplify right side
   146,458x = 54,956,018,329
5. Step 5: Solve for x
   x = 54,956,018,329/146,458
6. Step 6: Final answer
   x = 375,233.98