Finding the Third Proportional to 140,748 and 309,144

Step by Step Solution

1. Step 1: Write the proportion equation
   140,748 : 309,144 = 309,144 : x
2. Step 2: Convert to fraction form
   140,748/309,144 = 309,144/x
3. Step 3: Cross multiply
   140,748x = 309,144 × 309,144
4. Step 4: Simplify right side
   140,748x = 95,570,012,736
5. Step 5: Solve for x
   x = 95,570,012,736/140,748
6. Step 6: Final answer
   x = 679,015.07