Finding the Third Proportional to 196,092 and 429,564

Step by Step Solution

1. Step 1: Write the proportion equation
   196,092 : 429,564 = 429,564 : x
2. Step 2: Convert to fraction form
   196,092/429,564 = 429,564/x
3. Step 3: Cross multiply
   196,092x = 429,564 × 429,564
4. Step 4: Simplify right side
   196,092x = 184,525,230,096
5. Step 5: Solve for x
   x = 184,525,230,096/196,092
6. Step 6: Final answer
   x = 941,013.56