Finding the Third Proportional to 415,791 and 893,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,791 : 893,695.50 = 893,695.50 : x
2. Step 2: Convert to fraction form
   415,791/893,695.50 = 893,695.50/x
3. Step 3: Cross multiply
   415,791x = 893,695.50 × 893,695.50
4. Step 4: Simplify right side
   415,791x = 798,691,646,720.25
5. Step 5: Solve for x
   x = 798,691,646,720.25/415,791
6. Step 6: Final answer
   x = 1,920,896.91