Finding the Third Proportional to 140,196 and 214,386

Step by Step Solution

1. Step 1: Write the proportion equation
   140,196 : 214,386 = 214,386 : x
2. Step 2: Convert to fraction form
   140,196/214,386 = 214,386/x
3. Step 3: Cross multiply
   140,196x = 214,386 × 214,386
4. Step 4: Simplify right side
   140,196x = 45,961,356,996
5. Step 5: Solve for x
   x = 45,961,356,996/140,196
6. Step 6: Final answer
   x = 327,836.44