Finding the Third Proportional to 166,826 and 347,458

Step by Step Solution

1. Step 1: Write the proportion equation
   166,826 : 347,458 = 347,458 : x
2. Step 2: Convert to fraction form
   166,826/347,458 = 347,458/x
3. Step 3: Cross multiply
   166,826x = 347,458 × 347,458
4. Step 4: Simplify right side
   166,826x = 120,727,061,764
5. Step 5: Solve for x
   x = 120,727,061,764/166,826
6. Step 6: Final answer
   x = 723,670.54