Finding the Third Proportional to 85,072 and 186,506

Step by Step Solution

1. Step 1: Write the proportion equation
   85,072 : 186,506 = 186,506 : x
2. Step 2: Convert to fraction form
   85,072/186,506 = 186,506/x
3. Step 3: Cross multiply
   85,072x = 186,506 × 186,506
4. Step 4: Simplify right side
   85,072x = 34,784,488,036
5. Step 5: Solve for x
   x = 34,784,488,036/85,072
6. Step 6: Final answer
   x = 408,882.92