Finding the Third Proportional to 142,912 and 313,850

Step by Step Solution

1. Step 1: Write the proportion equation
   142,912 : 313,850 = 313,850 : x
2. Step 2: Convert to fraction form
   142,912/313,850 = 313,850/x
3. Step 3: Cross multiply
   142,912x = 313,850 × 313,850
4. Step 4: Simplify right side
   142,912x = 98,501,822,500
5. Step 5: Solve for x
   x = 98,501,822,500/142,912
6. Step 6: Final answer
   x = 689,248.09