Finding the Third Proportional to 90,195 and 142,814

Step by Step Solution

1. Step 1: Write the proportion equation
   90,195 : 142,814 = 142,814 : x
2. Step 2: Convert to fraction form
   90,195/142,814 = 142,814/x
3. Step 3: Cross multiply
   90,195x = 142,814 × 142,814
4. Step 4: Simplify right side
   90,195x = 20,395,838,596
5. Step 5: Solve for x
   x = 20,395,838,596/90,195
6. Step 6: Final answer
   x = 226,130.48