Finding the Third Proportional to 142,746 and 214,118

Step by Step Solution

1. Step 1: Write the proportion equation
   142,746 : 214,118 = 214,118 : x
2. Step 2: Convert to fraction form
   142,746/214,118 = 214,118/x
3. Step 3: Cross multiply
   142,746x = 214,118 × 214,118
4. Step 4: Simplify right side
   142,746x = 45,846,517,924
5. Step 5: Solve for x
   x = 45,846,517,924/142,746
6. Step 6: Final answer
   x = 321,175.50