Finding the Third Proportional to 413,832 and 661,196

Step by Step Solution

1. Step 1: Write the proportion equation
   413,832 : 661,196 = 661,196 : x
2. Step 2: Convert to fraction form
   413,832/661,196 = 661,196/x
3. Step 3: Cross multiply
   413,832x = 661,196 × 661,196
4. Step 4: Simplify right side
   413,832x = 437,180,150,416
5. Step 5: Solve for x
   x = 437,180,150,416/413,832
6. Step 6: Final answer
   x = 1,056,419.39