Finding the Third Proportional to 380,880 and 727,200

Step by Step Solution

1. Step 1: Write the proportion equation
   380,880 : 727,200 = 727,200 : x
2. Step 2: Convert to fraction form
   380,880/727,200 = 727,200/x
3. Step 3: Cross multiply
   380,880x = 727,200 × 727,200
4. Step 4: Simplify right side
   380,880x = 528,819,840,000
5. Step 5: Solve for x
   x = 528,819,840,000/380,880
6. Step 6: Final answer
   x = 1,388,415.88