Finding the Third Proportional to 199,078 and 429,830

Step by Step Solution

1. Step 1: Write the proportion equation
   199,078 : 429,830 = 429,830 : x
2. Step 2: Convert to fraction form
   199,078/429,830 = 429,830/x
3. Step 3: Cross multiply
   199,078x = 429,830 × 429,830
4. Step 4: Simplify right side
   199,078x = 184,753,828,900
5. Step 5: Solve for x
   x = 184,753,828,900/199,078
6. Step 6: Final answer
   x = 928,047.44