Finding the Third Proportional to 140,848 and 193,128

Step by Step Solution

1. Step 1: Write the proportion equation
   140,848 : 193,128 = 193,128 : x
2. Step 2: Convert to fraction form
   140,848/193,128 = 193,128/x
3. Step 3: Cross multiply
   140,848x = 193,128 × 193,128
4. Step 4: Simplify right side
   140,848x = 37,298,424,384
5. Step 5: Solve for x
   x = 37,298,424,384/140,848
6. Step 6: Final answer
   x = 264,813.31