Finding the Third Proportional to 196,402 and 294,522

Step by Step Solution

1. Step 1: Write the proportion equation
   196,402 : 294,522 = 294,522 : x
2. Step 2: Convert to fraction form
   196,402/294,522 = 294,522/x
3. Step 3: Cross multiply
   196,402x = 294,522 × 294,522
4. Step 4: Simplify right side
   196,402x = 86,743,208,484
5. Step 5: Solve for x
   x = 86,743,208,484/196,402
6. Step 6: Final answer
   x = 441,661.53