Finding the Third Proportional to 140,535 and 214,326

Step by Step Solution

1. Step 1: Write the proportion equation
   140,535 : 214,326 = 214,326 : x
2. Step 2: Convert to fraction form
   140,535/214,326 = 214,326/x
3. Step 3: Cross multiply
   140,535x = 214,326 × 214,326
4. Step 4: Simplify right side
   140,535x = 45,935,634,276
5. Step 5: Solve for x
   x = 45,935,634,276/140,535
6. Step 6: Final answer
   x = 326,862.59