Finding the Third Proportional to 142,746 and 309,368

Step by Step Solution

1. Step 1: Write the proportion equation
   142,746 : 309,368 = 309,368 : x
2. Step 2: Convert to fraction form
   142,746/309,368 = 309,368/x
3. Step 3: Cross multiply
   142,746x = 309,368 × 309,368
4. Step 4: Simplify right side
   142,746x = 95,708,559,424
5. Step 5: Solve for x
   x = 95,708,559,424/142,746
6. Step 6: Final answer
   x = 670,481.55