Finding the Third Proportional to 142,416 and 214,536.75

Step by Step Solution

1. Step 1: Write the proportion equation
   142,416 : 214,536.75 = 214,536.75 : x
2. Step 2: Convert to fraction form
   142,416/214,536.75 = 214,536.75/x
3. Step 3: Cross multiply
   142,416x = 214,536.75 × 214,536.75
4. Step 4: Simplify right side
   142,416x = 46,026,017,100.56
5. Step 5: Solve for x
   x = 46,026,017,100.56/142,416
6. Step 6: Final answer
   x = 323,180.10