Finding the Third Proportional to 199,196 and 429,496

Step by Step Solution

1. Step 1: Write the proportion equation
   199,196 : 429,496 = 429,496 : x
2. Step 2: Convert to fraction form
   199,196/429,496 = 429,496/x
3. Step 3: Cross multiply
   199,196x = 429,496 × 429,496
4. Step 4: Simplify right side
   199,196x = 184,466,814,016
5. Step 5: Solve for x
   x = 184,466,814,016/199,196
6. Step 6: Final answer
   x = 926,056.82