Finding the Third Proportional to 196,142 and 423,386

Step by Step Solution

1. Step 1: Write the proportion equation
   196,142 : 423,386 = 423,386 : x
2. Step 2: Convert to fraction form
   196,142/423,386 = 423,386/x
3. Step 3: Cross multiply
   196,142x = 423,386 × 423,386
4. Step 4: Simplify right side
   196,142x = 179,255,704,996
5. Step 5: Solve for x
   x = 179,255,704,996/196,142
6. Step 6: Final answer
   x = 913,907.81