Finding the Third Proportional to 146,214 and 214,251.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,214 : 214,251.50 = 214,251.50 : x
2. Step 2: Convert to fraction form
   146,214/214,251.50 = 214,251.50/x
3. Step 3: Cross multiply
   146,214x = 214,251.50 × 214,251.50
4. Step 4: Simplify right side
   146,214x = 45,903,705,252.25
5. Step 5: Solve for x
   x = 45,903,705,252.25/146,214
6. Step 6: Final answer
   x = 313,948.77