Finding the Third Proportional to 100,042 and 213,476

Step by Step Solution

1. Step 1: Write the proportion equation
   100,042 : 213,476 = 213,476 : x
2. Step 2: Convert to fraction form
   100,042/213,476 = 213,476/x
3. Step 3: Cross multiply
   100,042x = 213,476 × 213,476
4. Step 4: Simplify right side
   100,042x = 45,572,002,576
5. Step 5: Solve for x
   x = 45,572,002,576/100,042
6. Step 6: Final answer
   x = 455,528.70