Finding the Third Proportional to 140,567 and 309,934

Step by Step Solution

1. Step 1: Write the proportion equation
   140,567 : 309,934 = 309,934 : x
2. Step 2: Convert to fraction form
   140,567/309,934 = 309,934/x
3. Step 3: Cross multiply
   140,567x = 309,934 × 309,934
4. Step 4: Simplify right side
   140,567x = 96,059,084,356
5. Step 5: Solve for x
   x = 96,059,084,356/140,567
6. Step 6: Final answer
   x = 683,368.67