Finding the Third Proportional to 85,720 and 186,672

Step by Step Solution

1. Step 1: Write the proportion equation
   85,720 : 186,672 = 186,672 : x
2. Step 2: Convert to fraction form
   85,720/186,672 = 186,672/x
3. Step 3: Cross multiply
   85,720x = 186,672 × 186,672
4. Step 4: Simplify right side
   85,720x = 34,846,435,584
5. Step 5: Solve for x
   x = 34,846,435,584/85,720
6. Step 6: Final answer
   x = 406,514.65