Finding the Third Proportional to 142,314 and 305,732.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142,314 : 305,732.25 = 305,732.25 : x
2. Step 2: Convert to fraction form
   142,314/305,732.25 = 305,732.25/x
3. Step 3: Cross multiply
   142,314x = 305,732.25 × 305,732.25
4. Step 4: Simplify right side
   142,314x = 93,472,208,690.06
5. Step 5: Solve for x
   x = 93,472,208,690.06/142,314
6. Step 6: Final answer
   x = 656,802.62