Finding the Third Proportional to 141,494 and 214,064

Step by Step Solution

1. Step 1: Write the proportion equation
   141,494 : 214,064 = 214,064 : x
2. Step 2: Convert to fraction form
   141,494/214,064 = 214,064/x
3. Step 3: Cross multiply
   141,494x = 214,064 × 214,064
4. Step 4: Simplify right side
   141,494x = 45,823,396,096
5. Step 5: Solve for x
   x = 45,823,396,096/141,494
6. Step 6: Final answer
   x = 323,853.99