Finding the Third Proportional to 199,758 and 429,162

Step by Step Solution

1. Step 1: Write the proportion equation
   199,758 : 429,162 = 429,162 : x
2. Step 2: Convert to fraction form
   199,758/429,162 = 429,162/x
3. Step 3: Cross multiply
   199,758x = 429,162 × 429,162
4. Step 4: Simplify right side
   199,758x = 184,180,022,244
5. Step 5: Solve for x
   x = 184,180,022,244/199,758
6. Step 6: Final answer
   x = 922,015.75