Finding the Third Proportional to 514,822 and 778,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,822 : 778,883.50 = 778,883.50 : x
2. Step 2: Convert to fraction form
   514,822/778,883.50 = 778,883.50/x
3. Step 3: Cross multiply
   514,822x = 778,883.50 × 778,883.50
4. Step 4: Simplify right side
   514,822x = 606,659,506,572.25
5. Step 5: Solve for x
   x = 606,659,506,572.25/514,822
6. Step 6: Final answer
   x = 1,178,386.91