Finding the Third Proportional to 245,886 and 379,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,886 : 379,744.50 = 379,744.50 : x
2. Step 2: Convert to fraction form
   245,886/379,744.50 = 379,744.50/x
3. Step 3: Cross multiply
   245,886x = 379,744.50 × 379,744.50
4. Step 4: Simplify right side
   245,886x = 144,205,885,280.25
5. Step 5: Solve for x
   x = 144,205,885,280.25/245,886
6. Step 6: Final answer
   x = 586,474.57