Finding the Third Proportional to 380,146 and 531,466

Step by Step Solution

1. Step 1: Write the proportion equation
   380,146 : 531,466 = 531,466 : x
2. Step 2: Convert to fraction form
   380,146/531,466 = 531,466/x
3. Step 3: Cross multiply
   380,146x = 531,466 × 531,466
4. Step 4: Simplify right side
   380,146x = 282,456,109,156
5. Step 5: Solve for x
   x = 282,456,109,156/380,146
6. Step 6: Final answer
   x = 743,020.07