Finding the Third Proportional to 199,098 and 429,892

Step by Step Solution

1. Step 1: Write the proportion equation
   199,098 : 429,892 = 429,892 : x
2. Step 2: Convert to fraction form
   199,098/429,892 = 429,892/x
3. Step 3: Cross multiply
   199,098x = 429,892 × 429,892
4. Step 4: Simplify right side
   199,098x = 184,807,131,664
5. Step 5: Solve for x
   x = 184,807,131,664/199,098
6. Step 6: Final answer
   x = 928,221.94