Finding the Third Proportional to 142,869 and 312,300.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,869 : 312,300.75 = 312,300.75 : x
2. Step 2: Convert to fraction form
   142,869/312,300.75 = 312,300.75/x
3. Step 3: Cross multiply
   142,869x = 312,300.75 × 312,300.75
4. Step 4: Simplify right side
   142,869x = 97,531,758,450.56
5. Step 5: Solve for x
   x = 97,531,758,450.56/142,869
6. Step 6: Final answer
   x = 682,665.65