Finding the Third Proportional to 245,880 and 379,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,880 : 379,735.50 = 379,735.50 : x
2. Step 2: Convert to fraction form
   245,880/379,735.50 = 379,735.50/x
3. Step 3: Cross multiply
   245,880x = 379,735.50 × 379,735.50
4. Step 4: Simplify right side
   245,880x = 144,199,049,960.25
5. Step 5: Solve for x
   x = 144,199,049,960.25/245,880
6. Step 6: Final answer
   x = 586,461.08