Finding the Third Proportional to 381,449 and 560,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,449 : 560,495.50 = 560,495.50 : x
2. Step 2: Convert to fraction form
   381,449/560,495.50 = 560,495.50/x
3. Step 3: Cross multiply
   381,449x = 560,495.50 × 560,495.50
4. Step 4: Simplify right side
   381,449x = 314,155,205,520.25
5. Step 5: Solve for x
   x = 314,155,205,520.25/381,449
6. Step 6: Final answer
   x = 823,583.77