Finding the Third Proportional to 142,796 and 214,086

Step by Step Solution

1. Step 1: Write the proportion equation
   142,796 : 214,086 = 214,086 : x
2. Step 2: Convert to fraction form
   142,796/214,086 = 214,086/x
3. Step 3: Cross multiply
   142,796x = 214,086 × 214,086
4. Step 4: Simplify right side
   142,796x = 45,832,815,396
5. Step 5: Solve for x
   x = 45,832,815,396/142,796
6. Step 6: Final answer
   x = 320,967.08