Finding the Third Proportional to 380,175 and 531,510

Step by Step Solution

1. Step 1: Write the proportion equation
   380,175 : 531,510 = 531,510 : x
2. Step 2: Convert to fraction form
   380,175/531,510 = 531,510/x
3. Step 3: Cross multiply
   380,175x = 531,510 × 531,510
4. Step 4: Simplify right side
   380,175x = 282,502,880,100
5. Step 5: Solve for x
   x = 282,502,880,100/380,175
6. Step 6: Final answer
   x = 743,086.42