Finding the Third Proportional to 140,848 and 309,344

Step by Step Solution

1. Step 1: Write the proportion equation
   140,848 : 309,344 = 309,344 : x
2. Step 2: Convert to fraction form
   140,848/309,344 = 309,344/x
3. Step 3: Cross multiply
   140,848x = 309,344 × 309,344
4. Step 4: Simplify right side
   140,848x = 95,693,710,336
5. Step 5: Solve for x
   x = 95,693,710,336/140,848
6. Step 6: Final answer
   x = 679,411.21