Finding the Third Proportional to 514,827 and 778,891.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,827 : 778,891.50 = 778,891.50 : x
2. Step 2: Convert to fraction form
   514,827/778,891.50 = 778,891.50/x
3. Step 3: Cross multiply
   514,827x = 778,891.50 × 778,891.50
4. Step 4: Simplify right side
   514,827x = 606,671,968,772.25
5. Step 5: Solve for x
   x = 606,671,968,772.25/514,827
6. Step 6: Final answer
   x = 1,178,399.67