Finding the Third Proportional to 514,829 and 778,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,829 : 778,894.50 = 778,894.50 : x
2. Step 2: Convert to fraction form
   514,829/778,894.50 = 778,894.50/x
3. Step 3: Cross multiply
   514,829x = 778,894.50 × 778,894.50
4. Step 4: Simplify right side
   514,829x = 606,676,642,130.25
5. Step 5: Solve for x
   x = 606,676,642,130.25/514,829
6. Step 6: Final answer
   x = 1,178,404.17