Finding the Third Proportional to 284,818 and 429,050

Step by Step Solution

1. Step 1: Write the proportion equation
   284,818 : 429,050 = 429,050 : x
2. Step 2: Convert to fraction form
   284,818/429,050 = 429,050/x
3. Step 3: Cross multiply
   284,818x = 429,050 × 429,050
4. Step 4: Simplify right side
   284,818x = 184,083,902,500
5. Step 5: Solve for x
   x = 184,083,902,500/284,818
6. Step 6: Final answer
   x = 646,321.17