Finding the Third Proportional to 142,926 and 312,510

Step by Step Solution

1. Step 1: Write the proportion equation
   142,926 : 312,510 = 312,510 : x
2. Step 2: Convert to fraction form
   142,926/312,510 = 312,510/x
3. Step 3: Cross multiply
   142,926x = 312,510 × 312,510
4. Step 4: Simplify right side
   142,926x = 97,662,500,100
5. Step 5: Solve for x
   x = 97,662,500,100/142,926
6. Step 6: Final answer
   x = 683,308.15