Finding the Third Proportional to 201,666 and 442,090

Step by Step Solution

1. Step 1: Write the proportion equation
   201,666 : 442,090 = 442,090 : x
2. Step 2: Convert to fraction form
   201,666/442,090 = 442,090/x
3. Step 3: Cross multiply
   201,666x = 442,090 × 442,090
4. Step 4: Simplify right side
   201,666x = 195,443,568,100
5. Step 5: Solve for x
   x = 195,443,568,100/201,666
6. Step 6: Final answer
   x = 969,144.86