Finding the Third Proportional to 140,781 and 218,168.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,781 : 218,168.25 = 218,168.25 : x
2. Step 2: Convert to fraction form
   140,781/218,168.25 = 218,168.25/x
3. Step 3: Cross multiply
   140,781x = 218,168.25 × 218,168.25
4. Step 4: Simplify right side
   140,781x = 47,597,385,308.06
5. Step 5: Solve for x
   x = 47,597,385,308.06/140,781
6. Step 6: Final answer
   x = 338,095.24