Finding the Third Proportional to 519,426 and 780,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,426 : 780,643.50 = 780,643.50 : x
2. Step 2: Convert to fraction form
   519,426/780,643.50 = 780,643.50/x
3. Step 3: Cross multiply
   519,426x = 780,643.50 × 780,643.50
4. Step 4: Simplify right side
   519,426x = 609,404,274,092.25
5. Step 5: Solve for x
   x = 609,404,274,092.25/519,426
6. Step 6: Final answer
   x = 1,173,226.36