Finding the Third Proportional to 355,120 and 760,784

Step by Step Solution

1. Step 1: Write the proportion equation
   355,120 : 760,784 = 760,784 : x
2. Step 2: Convert to fraction form
   355,120/760,784 = 760,784/x
3. Step 3: Cross multiply
   355,120x = 760,784 × 760,784
4. Step 4: Simplify right side
   355,120x = 578,792,294,656
5. Step 5: Solve for x
   x = 578,792,294,656/355,120
6. Step 6: Final answer
   x = 1,629,849.89