Finding the Third Proportional to 245,847.50 and 379,689.38

Step by Step Solution

1. Step 1: Write the proportion equation
   245,847.50 : 379,689.38 = 379,689.38 : x
2. Step 2: Convert to fraction form
   245,847.50/379,689.38 = 379,689.38/x
3. Step 3: Cross multiply
   245,847.50x = 379,689.38 × 379,689.38
4. Step 4: Simplify right side
   245,847.50x = 144,164,021,487.89
5. Step 5: Solve for x
   x = 144,164,021,487.89/245,847.50
6. Step 6: Final answer
   x = 586,396.13