Finding the Third Proportional to 213,507 and 460,002

Step by Step Solution

1. Step 1: Write the proportion equation
   213,507 : 460,002 = 460,002 : x
2. Step 2: Convert to fraction form
   213,507/460,002 = 460,002/x
3. Step 3: Cross multiply
   213,507x = 460,002 × 460,002
4. Step 4: Simplify right side
   213,507x = 211,601,840,004
5. Step 5: Solve for x
   x = 211,601,840,004/213,507
6. Step 6: Final answer
   x = 991,076.83