Finding the Third Proportional to 380,900 and 727,240

Step by Step Solution

1. Step 1: Write the proportion equation
   380,900 : 727,240 = 727,240 : x
2. Step 2: Convert to fraction form
   380,900/727,240 = 727,240/x
3. Step 3: Cross multiply
   380,900x = 727,240 × 727,240
4. Step 4: Simplify right side
   380,900x = 528,878,017,600
5. Step 5: Solve for x
   x = 528,878,017,600/380,900
6. Step 6: Final answer
   x = 1,388,495.71