Finding the Third Proportional to 514,824 and 778,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,824 : 778,886.50 = 778,886.50 : x
2. Step 2: Convert to fraction form
   514,824/778,886.50 = 778,886.50/x
3. Step 3: Cross multiply
   514,824x = 778,886.50 × 778,886.50
4. Step 4: Simplify right side
   514,824x = 606,664,179,882.25
5. Step 5: Solve for x
   x = 606,664,179,882.25/514,824
6. Step 6: Final answer
   x = 1,178,391.41