Finding the Third Proportional to 142,110 and 205,308

Step by Step Solution

1. Step 1: Write the proportion equation
   142,110 : 205,308 = 205,308 : x
2. Step 2: Convert to fraction form
   142,110/205,308 = 205,308/x
3. Step 3: Cross multiply
   142,110x = 205,308 × 205,308
4. Step 4: Simplify right side
   142,110x = 42,151,374,864
5. Step 5: Solve for x
   x = 42,151,374,864/142,110
6. Step 6: Final answer
   x = 296,610.90