Finding the Third Proportional to 199,869 and 429,384

Step by Step Solution

1. Step 1: Write the proportion equation
   199,869 : 429,384 = 429,384 : x
2. Step 2: Convert to fraction form
   199,869/429,384 = 429,384/x
3. Step 3: Cross multiply
   199,869x = 429,384 × 429,384
4. Step 4: Simplify right side
   199,869x = 184,370,619,456
5. Step 5: Solve for x
   x = 184,370,619,456/199,869
6. Step 6: Final answer
   x = 922,457.31