Finding the Third Proportional to 140,116 and 327,754

Step by Step Solution

1. Step 1: Write the proportion equation
   140,116 : 327,754 = 327,754 : x
2. Step 2: Convert to fraction form
   140,116/327,754 = 327,754/x
3. Step 3: Cross multiply
   140,116x = 327,754 × 327,754
4. Step 4: Simplify right side
   140,116x = 107,422,684,516
5. Step 5: Solve for x
   x = 107,422,684,516/140,116
6. Step 6: Final answer
   x = 766,669.65