Finding the Third Proportional to 142,507 and 200,433

Step by Step Solution

1. Step 1: Write the proportion equation
   142,507 : 200,433 = 200,433 : x
2. Step 2: Convert to fraction form
   142,507/200,433 = 200,433/x
3. Step 3: Cross multiply
   142,507x = 200,433 × 200,433
4. Step 4: Simplify right side
   142,507x = 40,173,387,489
5. Step 5: Solve for x
   x = 40,173,387,489/142,507
6. Step 6: Final answer
   x = 281,904.66