Finding the Third Proportional to 199,827 and 429,300

Step by Step Solution

1. Step 1: Write the proportion equation
   199,827 : 429,300 = 429,300 : x
2. Step 2: Convert to fraction form
   199,827/429,300 = 429,300/x
3. Step 3: Cross multiply
   199,827x = 429,300 × 429,300
4. Step 4: Simplify right side
   199,827x = 184,298,490,000
5. Step 5: Solve for x
   x = 184,298,490,000/199,827
6. Step 6: Final answer
   x = 922,290.23