Finding the Third Proportional to 146,178 and 319,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,178 : 319,693.50 = 319,693.50 : x
2. Step 2: Convert to fraction form
   146,178/319,693.50 = 319,693.50/x
3. Step 3: Cross multiply
   146,178x = 319,693.50 × 319,693.50
4. Step 4: Simplify right side
   146,178x = 102,203,933,942.25
5. Step 5: Solve for x
   x = 102,203,933,942.25/146,178
6. Step 6: Final answer
   x = 699,174.53