Finding the Third Proportional to 729,827 and 1,162,196

Step by Step Solution

1. Step 1: Write the proportion equation
   729,827 : 1,162,196 = 1,162,196 : x
2. Step 2: Convert to fraction form
   729,827/1,162,196 = 1,162,196/x
3. Step 3: Cross multiply
   729,827x = 1,162,196 × 1,162,196
4. Step 4: Simplify right side
   729,827x = 1,350,699,542,416
5. Step 5: Solve for x
   x = 1,350,699,542,416/729,827
6. Step 6: Final answer
   x = 1,850,711.94