Finding the Third Proportional to 415,809 and 875,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,809 : 875,083.50 = 875,083.50 : x
2. Step 2: Convert to fraction form
   415,809/875,083.50 = 875,083.50/x
3. Step 3: Cross multiply
   415,809x = 875,083.50 × 875,083.50
4. Step 4: Simplify right side
   415,809x = 765,771,131,972.25
5. Step 5: Solve for x
   x = 765,771,131,972.25/415,809
6. Step 6: Final answer
   x = 1,841,641.55