Finding the Third Proportional to 193,670 and 457,914

Step by Step Solution

1. Step 1: Write the proportion equation
   193,670 : 457,914 = 457,914 : x
2. Step 2: Convert to fraction form
   193,670/457,914 = 457,914/x
3. Step 3: Cross multiply
   193,670x = 457,914 × 457,914
4. Step 4: Simplify right side
   193,670x = 209,685,231,396
5. Step 5: Solve for x
   x = 209,685,231,396/193,670
6. Step 6: Final answer
   x = 1,082,693.40