Finding the Third Proportional to 140,065 and 214,194

Step by Step Solution

1. Step 1: Write the proportion equation
   140,065 : 214,194 = 214,194 : x
2. Step 2: Convert to fraction form
   140,065/214,194 = 214,194/x
3. Step 3: Cross multiply
   140,065x = 214,194 × 214,194
4. Step 4: Simplify right side
   140,065x = 45,879,069,636
5. Step 5: Solve for x
   x = 45,879,069,636/140,065
6. Step 6: Final answer
   x = 327,555.56