Finding the Third Proportional to 465,784 and 721,434

Step by Step Solution

1. Step 1: Write the proportion equation
   465,784 : 721,434 = 721,434 : x
2. Step 2: Convert to fraction form
   465,784/721,434 = 721,434/x
3. Step 3: Cross multiply
   465,784x = 721,434 × 721,434
4. Step 4: Simplify right side
   465,784x = 520,467,016,356
5. Step 5: Solve for x
   x = 520,467,016,356/465,784
6. Step 6: Final answer
   x = 1,117,399.95