Finding the Third Proportional to 234,534 and 457,404

Step by Step Solution

1. Step 1: Write the proportion equation
   234,534 : 457,404 = 457,404 : x
2. Step 2: Convert to fraction form
   234,534/457,404 = 457,404/x
3. Step 3: Cross multiply
   234,534x = 457,404 × 457,404
4. Step 4: Simplify right side
   234,534x = 209,218,419,216
5. Step 5: Solve for x
   x = 209,218,419,216/234,534
6. Step 6: Final answer
   x = 892,060.08