Finding the Third Proportional to 175,584 and 384,480

Step by Step Solution

1. Step 1: Write the proportion equation
   175,584 : 384,480 = 384,480 : x
2. Step 2: Convert to fraction form
   175,584/384,480 = 384,480/x
3. Step 3: Cross multiply
   175,584x = 384,480 × 384,480
4. Step 4: Simplify right side
   175,584x = 147,824,870,400
5. Step 5: Solve for x
   x = 147,824,870,400/175,584
6. Step 6: Final answer
   x = 841,903.99