Finding the Third Proportional to 145,458 and 304,156

Step by Step Solution

1. Step 1: Write the proportion equation
   145,458 : 304,156 = 304,156 : x
2. Step 2: Convert to fraction form
   145,458/304,156 = 304,156/x
3. Step 3: Cross multiply
   145,458x = 304,156 × 304,156
4. Step 4: Simplify right side
   145,458x = 92,510,872,336
5. Step 5: Solve for x
   x = 92,510,872,336/145,458
6. Step 6: Final answer
   x = 635,997.14