Finding the Third Proportional to 415,854 and 875,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,854 : 875,164.50 = 875,164.50 : x
2. Step 2: Convert to fraction form
   415,854/875,164.50 = 875,164.50/x
3. Step 3: Cross multiply
   415,854x = 875,164.50 × 875,164.50
4. Step 4: Simplify right side
   415,854x = 765,912,902,060.25
5. Step 5: Solve for x
   x = 765,912,902,060.25/415,854
6. Step 6: Final answer
   x = 1,841,783.18