Finding the Third Proportional to 249,790 and 380,942

Step by Step Solution

1. Step 1: Write the proportion equation
   249,790 : 380,942 = 380,942 : x
2. Step 2: Convert to fraction form
   249,790/380,942 = 380,942/x
3. Step 3: Cross multiply
   249,790x = 380,942 × 380,942
4. Step 4: Simplify right side
   249,790x = 145,116,807,364
5. Step 5: Solve for x
   x = 145,116,807,364/249,790
6. Step 6: Final answer
   x = 580,955.23