Finding the Third Proportional to 245,892 and 379,758

Step by Step Solution

1. Step 1: Write the proportion equation
   245,892 : 379,758 = 379,758 : x
2. Step 2: Convert to fraction form
   245,892/379,758 = 379,758/x
3. Step 3: Cross multiply
   245,892x = 379,758 × 379,758
4. Step 4: Simplify right side
   245,892x = 144,216,138,564
5. Step 5: Solve for x
   x = 144,216,138,564/245,892
6. Step 6: Final answer
   x = 586,501.95