Finding the Third Proportional to 95,671 and 208,565

Step by Step Solution

1. Step 1: Write the proportion equation
   95,671 : 208,565 = 208,565 : x
2. Step 2: Convert to fraction form
   95,671/208,565 = 208,565/x
3. Step 3: Cross multiply
   95,671x = 208,565 × 208,565
4. Step 4: Simplify right side
   95,671x = 43,499,359,225
5. Step 5: Solve for x
   x = 43,499,359,225/95,671
6. Step 6: Final answer
   x = 454,676.54