Finding the Third Proportional to 142,032 and 218,584

Step by Step Solution

1. Step 1: Write the proportion equation
   142,032 : 218,584 = 218,584 : x
2. Step 2: Convert to fraction form
   142,032/218,584 = 218,584/x
3. Step 3: Cross multiply
   142,032x = 218,584 × 218,584
4. Step 4: Simplify right side
   142,032x = 47,778,965,056
5. Step 5: Solve for x
   x = 47,778,965,056/142,032
6. Step 6: Final answer
   x = 336,395.78