Finding the Third Proportional to 245,874 and 379,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,874 : 379,726.50 = 379,726.50 : x
2. Step 2: Convert to fraction form
   245,874/379,726.50 = 379,726.50/x
3. Step 3: Cross multiply
   245,874x = 379,726.50 × 379,726.50
4. Step 4: Simplify right side
   245,874x = 144,192,214,802.25
5. Step 5: Solve for x
   x = 144,192,214,802.25/245,874
6. Step 6: Final answer
   x = 586,447.59