Finding the Third Proportional to 503,826 and 780,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,826 : 780,079.50 = 780,079.50 : x
2. Step 2: Convert to fraction form
   503,826/780,079.50 = 780,079.50/x
3. Step 3: Cross multiply
   503,826x = 780,079.50 × 780,079.50
4. Step 4: Simplify right side
   503,826x = 608,524,026,320.25
5. Step 5: Solve for x
   x = 608,524,026,320.25/503,826
6. Step 6: Final answer
   x = 1,207,805.92