Finding the Third Proportional to 142,350 and 209,240

Step by Step Solution

1. Step 1: Write the proportion equation
   142,350 : 209,240 = 209,240 : x
2. Step 2: Convert to fraction form
   142,350/209,240 = 209,240/x
3. Step 3: Cross multiply
   142,350x = 209,240 × 209,240
4. Step 4: Simplify right side
   142,350x = 43,781,377,600
5. Step 5: Solve for x
   x = 43,781,377,600/142,350
6. Step 6: Final answer
   x = 307,561.49