Finding the Third Proportional to 145,648 and 222,704

Step by Step Solution

1. Step 1: Write the proportion equation
   145,648 : 222,704 = 222,704 : x
2. Step 2: Convert to fraction form
   145,648/222,704 = 222,704/x
3. Step 3: Cross multiply
   145,648x = 222,704 × 222,704
4. Step 4: Simplify right side
   145,648x = 49,597,071,616
5. Step 5: Solve for x
   x = 49,597,071,616/145,648
6. Step 6: Final answer
   x = 340,526.97