Finding the Third Proportional to 213,239 and 456,002

Step by Step Solution

1. Step 1: Write the proportion equation
   213,239 : 456,002 = 456,002 : x
2. Step 2: Convert to fraction form
   213,239/456,002 = 456,002/x
3. Step 3: Cross multiply
   213,239x = 456,002 × 456,002
4. Step 4: Simplify right side
   213,239x = 207,937,824,004
5. Step 5: Solve for x
   x = 207,937,824,004/213,239
6. Step 6: Final answer
   x = 975,139.74