Finding the Third Proportional to 146,974.50 and 214,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,974.50 : 214,789.50 = 214,789.50 : x
2. Step 2: Convert to fraction form
   146,974.50/214,789.50 = 214,789.50/x
3. Step 3: Cross multiply
   146,974.50x = 214,789.50 × 214,789.50
4. Step 4: Simplify right side
   146,974.50x = 46,134,529,310.25
5. Step 5: Solve for x
   x = 46,134,529,310.25/146,974.50
6. Step 6: Final answer
   x = 313,894.79