Finding the Third Proportional to 245,598 and 380,386

Step by Step Solution

1. Step 1: Write the proportion equation
   245,598 : 380,386 = 380,386 : x
2. Step 2: Convert to fraction form
   245,598/380,386 = 380,386/x
3. Step 3: Cross multiply
   245,598x = 380,386 × 380,386
4. Step 4: Simplify right side
   245,598x = 144,693,508,996
5. Step 5: Solve for x
   x = 144,693,508,996/245,598
6. Step 6: Final answer
   x = 589,147.75