Finding the Third Proportional to 140,427 and 210,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,427 : 210,424.50 = 210,424.50 : x
2. Step 2: Convert to fraction form
   140,427/210,424.50 = 210,424.50/x
3. Step 3: Cross multiply
   140,427x = 210,424.50 × 210,424.50
4. Step 4: Simplify right side
   140,427x = 44,278,470,200.25
5. Step 5: Solve for x
   x = 44,278,470,200.25/140,427
6. Step 6: Final answer
   x = 315,313.08